2x(4x-3)=8x(2-18)

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Solution for 2x(4x-3)=8x(2-18) equation:


Simplifying
2x(4x + -3) = 8x(2 + -18)

Reorder the terms:
2x(-3 + 4x) = 8x(2 + -18)
(-3 * 2x + 4x * 2x) = 8x(2 + -18)
(-6x + 8x2) = 8x(2 + -18)

Combine like terms: 2 + -18 = -16
-6x + 8x2 = 8x(-16)

Reorder the terms for easier multiplication:
-6x + 8x2 = 8 * -16x

Multiply 8 * -16
-6x + 8x2 = -128x

Solving
-6x + 8x2 = -128x

Solving for variable 'x'.

Reorder the terms:
-6x + 128x + 8x2 = -128x + 128x

Combine like terms: -6x + 128x = 122x
122x + 8x2 = -128x + 128x

Combine like terms: -128x + 128x = 0
122x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(61 + 4x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(61 + 4x)' equal to zero and attempt to solve: Simplifying 61 + 4x = 0 Solving 61 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 4x = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 4x = 0 + -61 4x = 0 + -61 Combine like terms: 0 + -61 = -61 4x = -61 Divide each side by '4'. x = -15.25 Simplifying x = -15.25

Solution

x = {0, -15.25}

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