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Simplifying -9x(-9 + 6x) + -5x(7 + 4x) = 0 (-9 * -9x + 6x * -9x) + -5x(7 + 4x) = 0 (81x + -54x2) + -5x(7 + 4x) = 0 81x + -54x2 + (7 * -5x + 4x * -5x) = 0 81x + -54x2 + (-35x + -20x2) = 0 Reorder the terms: 81x + -35x + -54x2 + -20x2 = 0 Combine like terms: 81x + -35x = 46x 46x + -54x2 + -20x2 = 0 Combine like terms: -54x2 + -20x2 = -74x2 46x + -74x2 = 0 Solving 46x + -74x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(23 + -37x) = 0 Ignore the factor 2.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 '(23 + -37x)' equal to zero and attempt to solve: Simplifying 23 + -37x = 0 Solving 23 + -37x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -37x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -37x = 0 + -23 -37x = 0 + -23 Combine like terms: 0 + -23 = -23 -37x = -23 Divide each side by '-37'. x = 0.6216216216 Simplifying x = 0.6216216216Solution
x = {0, 0.6216216216}
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