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Simplifying 5x2 + -4x[x + -3(3x + 2) + x] = 0 Reorder the terms: 5x2 + -4x[x + -3(2 + 3x) + x] = 0 5x2 + -4x[x + (2 * -3 + 3x * -3) + x] = 0 5x2 + -4x[x + (-6 + -9x) + x] = 0 Reorder the terms: 5x2 + -4x[-6 + x + -9x + x] = 0 Combine like terms: x + -9x = -8x 5x2 + -4x[-6 + -8x + x] = 0 Combine like terms: -8x + x = -7x 5x2 + -4x[-6 + -7x] = 0 5x2 + [-6 * -4x + -7x * -4x] = 0 5x2 + [24x + 28x2] = 0 Reorder the terms: 24x + 5x2 + 28x2 = 0 Combine like terms: 5x2 + 28x2 = 33x2 24x + 33x2 = 0 Solving 24x + 33x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(8 + 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 '(8 + 11x)' equal to zero and attempt to solve: Simplifying 8 + 11x = 0 Solving 8 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 11x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 0 + -8 11x = 0 + -8 Combine like terms: 0 + -8 = -8 11x = -8 Divide each side by '11'. x = -0.7272727273 Simplifying x = -0.7272727273Solution
x = {0, -0.7272727273}
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