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Simplifying 2x(4x + 4) = x(2x + 1) Reorder the terms: 2x(4 + 4x) = x(2x + 1) (4 * 2x + 4x * 2x) = x(2x + 1) (8x + 8x2) = x(2x + 1) Reorder the terms: 8x + 8x2 = x(1 + 2x) 8x + 8x2 = (1 * x + 2x * x) 8x + 8x2 = (1x + 2x2) Solving 8x + 8x2 = 1x + 2x2 Solving for variable 'x'. Reorder the terms: 8x + -1x + 8x2 + -2x2 = 1x + 2x2 + -1x + -2x2 Combine like terms: 8x + -1x = 7x 7x + 8x2 + -2x2 = 1x + 2x2 + -1x + -2x2 Combine like terms: 8x2 + -2x2 = 6x2 7x + 6x2 = 1x + 2x2 + -1x + -2x2 Reorder the terms: 7x + 6x2 = 1x + -1x + 2x2 + -2x2 Combine like terms: 1x + -1x = 0 7x + 6x2 = 0 + 2x2 + -2x2 7x + 6x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 7x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(7 + 6x) = 0Subproblem 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 '(7 + 6x)' equal to zero and attempt to solve: Simplifying 7 + 6x = 0 Solving 7 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 0 + -7 6x = 0 + -7 Combine like terms: 0 + -7 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667Solution
x = {0, -1.166666667}
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