Solve (4-2x) 63x=6-(6-2x)

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = 0, x_{2} = \frac{125}{63}

Alternative Form

x_{1} = 0, x_{2} = 1. \dot{9} 8412 \dot{6}

Evaluate

(4 - 2 x) \times 63 x = 6 - (6 - 2 x)

Multiply the first two terms

63 (4 - 2 x) x = 6 - (6 - 2 x)

Subtract the terms

More Steps

Evaluate

6 - (6 - 2 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

6 - 6 + 2 x

Since two opposites add up to 0,remove them form the expression

2 x

63 (4 - 2 x) x = 2 x

Expand the expression

More Steps

Evaluate

63 (4 - 2 x) x

Multiply the terms

More Steps

Evaluate

63 (4 - 2 x)

Apply the distributive property

63 \times 4 - 63 \times 2 x

Multiply the numbers

252 - 63 \times 2 x

Multiply the numbers

252 - 126 x

(252 - 126 x) x

Apply the distributive property

252 x - 126 x \times x

Multiply the terms

252 x - 126 x^{2}

252 x - 126 x^{2} = 2 x

Move the expression to the left side

250 x - 126 x^{2} = 0

Factor the expression

More Steps

Evaluate

250 x - 126 x^{2}

Rewrite the expression

2 x \times 125 - 2 x \times 63 x

Factor out 2 x from the expression

2 x (125 - 63 x)

2 x (125 - 63 x) = 0

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

125 - 63 x = 0 2 x = 0

Solve the equation for x

More Steps

Evaluate

125 - 63 x = 0

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

- 63 x = 0 - 125

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

- 63 x = - 125

Change the signs on both sides of the equation

63 x = 125

Divide both sides

\frac{63 x}{63} = \frac{125}{63}

Divide the numbers

x = \frac{125}{63}

x = \frac{125}{63} 2 x = 0

Solve the equation for x

x = \frac{125}{63} x = 0

Solution

x_{1} = 0, x_{2} = \frac{125}{63}

Alternative Form

x_{1} = 0, x_{2} = 1. \dot{9} 8412 \dot{6}

Show Solution

Solve the quadratic equation

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