Solve (3x^210)-(-7x^2-9x)

Question

Simplify the expression

37 x^{2} + 9 x

Evaluate

(3 x^{2} \times 10) - (- 7 x^{2} - 9 x)

Multiply the terms

30 x^{2} - (- 7 x^{2} - 9 x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

30 x^{2} + 7 x^{2} + 9 x

Solution

More Steps

Evaluate

30 x^{2} + 7 x^{2}

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

(30 + 7) x^{2}

Add the numbers

37 x^{2}

37 x^{2} + 9 x

Show Solution

Factor the expression

x (37 x + 9)

Evaluate

(3 x^{2} \times 10) - (- 7 x^{2} - 9 x)

Multiply the terms

30 x^{2} - (- 7 x^{2} - 9 x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

30 x^{2} + 7 x^{2} + 9 x

Add the terms

More Steps

Evaluate

30 x^{2} + 7 x^{2}

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

(30 + 7) x^{2}

Add the numbers

37 x^{2}

37 x^{2} + 9 x

Rewrite the expression

x \times 37 x + x \times 9

Solution

x (37 x + 9)

Show Solution

Find the roots

x_{1} = - \frac{9}{37}, x_{2} = 0

Alternative Form

x_{1} = - 0. \dot{2} 4 \dot{3}, x_{2} = 0

Evaluate

(3 x^{2} \times 10) - (- 7 x^{2} - 9 x)

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

(3 x^{2} \times 10) - (- 7 x^{2} - 9 x) = 0

Multiply the terms

30 x^{2} - (- 7 x^{2} - 9 x) = 0

Subtract the terms

More Steps

Simplify

30 x^{2} - (- 7 x^{2} - 9 x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

30 x^{2} + 7 x^{2} + 9 x

Add the terms

More Steps

Evaluate

30 x^{2} + 7 x^{2}

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

(30 + 7) x^{2}

Add the numbers

37 x^{2}

37 x^{2} + 9 x

37 x^{2} + 9 x = 0

Factor the expression

More Steps

Evaluate

37 x^{2} + 9 x

Rewrite the expression

x \times 37 x + x \times 9

Factor out x from the expression

x (37 x + 9)

x (37 x + 9) = 0

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

x = 0 37 x + 9 = 0

Solve the equation for x

More Steps

Evaluate

37 x + 9 = 0

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

37 x = 0 - 9

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

37 x = - 9

Divide both sides

\frac{37 x}{37} = \frac{- 9}{37}

Divide the numbers

x = \frac{- 9}{37}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = - \frac{9}{37}

x = 0 x = - \frac{9}{37}

Solution

x_{1} = - \frac{9}{37}, x_{2} = 0

Alternative Form

x_{1} = - 0. \dot{2} 4 \dot{3}, x_{2} = 0

Show Solution