Solve 4m -2m -7m 9m -m

Question

Simplify the expression

m - 63 m^{2}

Evaluate

4 m - 2 m - 7 m \times 9 m - m

Multiply

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Multiply the terms

- 7 m \times 9 m

Multiply the terms

- 63 m \times m

Multiply the terms

- 63 m^{2}

4 m - 2 m - 63 m^{2} - m

Solution

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Evaluate

4 m - 2 m - m

Collect like terms by calculating the sum or difference of their coefficients

(4 - 2 - 1) m

Subtract the numbers

m

m - 63 m^{2}

Show Solution

Factor the expression

m (1 - 63 m)

Evaluate

4 m - 2 m - 7 m \times 9 m - m

Multiply

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Multiply the terms

7 m \times 9 m

Multiply the terms

63 m \times m

Multiply the terms

63 m^{2}

4 m - 2 m - 63 m^{2} - m

Subtract the terms

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Simplify

4 m - 2 m

Collect like terms by calculating the sum or difference of their coefficients

(4 - 2) m

Subtract the numbers

2 m

2 m - 63 m^{2} - m

Subtract the terms

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Evaluate

2 m - m

Collect like terms by calculating the sum or difference of their coefficients

(2 - 1) m

Subtract the numbers

m

m - 63 m^{2}

Rewrite the expression

m - m \times 63 m

Solution

m (1 - 63 m)

Show Solution

Find the roots

m_{1} = 0, m_{2} = \frac{1}{63}

Alternative Form

m_{1} = 0, m_{2} = 0. \dot{0} 1587 \dot{3}

Evaluate

4 m - 2 m - 7 m \times 9 m - m

To find the roots of the expression,set the expression equal to 0

4 m - 2 m - 7 m \times 9 m - m = 0

Multiply

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Multiply the terms

7 m \times 9 m

Multiply the terms

63 m \times m

Multiply the terms

63 m^{2}

4 m - 2 m - 63 m^{2} - m = 0

Subtract the terms

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Simplify

4 m - 2 m

Collect like terms by calculating the sum or difference of their coefficients

(4 - 2) m

Subtract the numbers

2 m

2 m - 63 m^{2} - m = 0

Subtract the terms

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Simplify

2 m - 63 m^{2} - m

Subtract the terms

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Evaluate

2 m - m

Collect like terms by calculating the sum or difference of their coefficients

(2 - 1) m

Subtract the numbers

m

m - 63 m^{2}

m - 63 m^{2} = 0

Factor the expression

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Evaluate

m - 63 m^{2}

Rewrite the expression

m - m \times 63 m

Factor out m from the expression

m (1 - 63 m)

m (1 - 63 m) = 0

When the product of factors equals 0,at least one factor is 0

m = 0 1 - 63 m = 0

Solve the equation for m

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Evaluate

1 - 63 m = 0

Move the constant to the right-hand side and change its sign

- 63 m = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

- 63 m = - 1

Change the signs on both sides of the equation

63 m = 1

Divide both sides

\frac{63 m}{63} = \frac{1}{63}

Divide the numbers

m = \frac{1}{63}

m = 0 m = \frac{1}{63}

Solution

m_{1} = 0, m_{2} = \frac{1}{63}

Alternative Form

m_{1} = 0, m_{2} = 0. \dot{0} 1587 \dot{3}

Show Solution