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Simplifying 5x + -1(5x2 + -3x) + 9x2 = 0 Reorder the terms: 5x + -1(-3x + 5x2) + 9x2 = 0 5x + (-3x * -1 + 5x2 * -1) + 9x2 = 0 5x + (3x + -5x2) + 9x2 = 0 Combine like terms: 5x + 3x = 8x 8x + -5x2 + 9x2 = 0 Combine like terms: -5x2 + 9x2 = 4x2 8x + 4x2 = 0 Solving 8x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(2 + x) = 0 Ignore the factor 4.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 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -2}
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