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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 = 0Subproblem 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 = -15.25Solution
x = {0, -15.25}
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