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Simplifying 2(x2 + x) + -3(x2 + -4x) = 0 Reorder the terms: 2(x + x2) + -3(x2 + -4x) = 0 (x * 2 + x2 * 2) + -3(x2 + -4x) = 0 (2x + 2x2) + -3(x2 + -4x) = 0 Reorder the terms: 2x + 2x2 + -3(-4x + x2) = 0 2x + 2x2 + (-4x * -3 + x2 * -3) = 0 2x + 2x2 + (12x + -3x2) = 0 Reorder the terms: 2x + 12x + 2x2 + -3x2 = 0 Combine like terms: 2x + 12x = 14x 14x + 2x2 + -3x2 = 0 Combine like terms: 2x2 + -3x2 = -1x2 14x + -1x2 = 0 Solving 14x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(14 + -1x) = 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 '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {0, 14}
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