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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 = 6x 6x + 15x2 + 18x2 = 0 Combine like terms: 15x2 + 18x2 = 33x2 6x + 33x2 = 0 Solving 6x + 33x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(2 + 11x) = 0 Ignore the factor 3.Subproblem 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 '(2 + 11x)' equal to zero and attempt to solve: Simplifying 2 + 11x = 0 Solving 2 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 11x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 0 + -2 11x = 0 + -2 Combine like terms: 0 + -2 = -2 11x = -2 Divide each side by '11'. x = -0.1818181818 Simplifying x = -0.1818181818Solution
x = {0, -0.1818181818}
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