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Simplifying (8x2 + -3x) + -1(6x2 + -8x) = 0 Reorder the terms: (-3x + 8x2) + -1(6x2 + -8x) = 0 Remove parenthesis around (-3x + 8x2) -3x + 8x2 + -1(6x2 + -8x) = 0 Reorder the terms: -3x + 8x2 + -1(-8x + 6x2) = 0 -3x + 8x2 + (-8x * -1 + 6x2 * -1) = 0 -3x + 8x2 + (8x + -6x2) = 0 Reorder the terms: -3x + 8x + 8x2 + -6x2 = 0 Combine like terms: -3x + 8x = 5x 5x + 8x2 + -6x2 = 0 Combine like terms: 8x2 + -6x2 = 2x2 5x + 2x2 = 0 Solving 5x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 2x) = 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 '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {0, -2.5}
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