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Simplifying 5(2x + -3x2) + 2(9x2 + 8x) = 0 (2x * 5 + -3x2 * 5) + 2(9x2 + 8x) = 0 (10x + -15x2) + 2(9x2 + 8x) = 0 Reorder the terms: 10x + -15x2 + 2(8x + 9x2) = 0 10x + -15x2 + (8x * 2 + 9x2 * 2) = 0 10x + -15x2 + (16x + 18x2) = 0 Reorder the terms: 10x + 16x + -15x2 + 18x2 = 0 Combine like terms: 10x + 16x = 26x 26x + -15x2 + 18x2 = 0 Combine like terms: -15x2 + 18x2 = 3x2 26x + 3x2 = 0 Solving 26x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(26 + 3x) = 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 '(26 + 3x)' equal to zero and attempt to solve: Simplifying 26 + 3x = 0 Solving 26 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 3x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 3x = 0 + -26 3x = 0 + -26 Combine like terms: 0 + -26 = -26 3x = -26 Divide each side by '3'. x = -8.666666667 Simplifying x = -8.666666667Solution
x = {0, -8.666666667}
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