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Simplifying 0 = 5x + -4x(2x + -3) Reorder the terms: 0 = 5x + -4x(-3 + 2x) 0 = 5x + (-3 * -4x + 2x * -4x) 0 = 5x + (12x + -8x2) Combine like terms: 5x + 12x = 17x 0 = 17x + -8x2 Solving 0 = 17x + -8x2 Solving for variable 'x'. Remove the zero: -17x + 8x2 = 17x + -8x2 + -17x + 8x2 Reorder the terms: -17x + 8x2 = 17x + -17x + -8x2 + 8x2 Combine like terms: 17x + -17x = 0 -17x + 8x2 = 0 + -8x2 + 8x2 -17x + 8x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 -17x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-17 + 8x) = 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 '(-17 + 8x)' equal to zero and attempt to solve: Simplifying -17 + 8x = 0 Solving -17 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 8x = 0 + 17 8x = 0 + 17 Combine like terms: 0 + 17 = 17 8x = 17 Divide each side by '8'. x = 2.125 Simplifying x = 2.125Solution
x = {0, 2.125}
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