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Simplifying 18x + -7x2 = 5x + 9x2 Solving 18x + -7x2 = 5x + 9x2 Solving for variable 'x'. Reorder the terms: 18x + -5x + -7x2 + -9x2 = 5x + 9x2 + -5x + -9x2 Combine like terms: 18x + -5x = 13x 13x + -7x2 + -9x2 = 5x + 9x2 + -5x + -9x2 Combine like terms: -7x2 + -9x2 = -16x2 13x + -16x2 = 5x + 9x2 + -5x + -9x2 Reorder the terms: 13x + -16x2 = 5x + -5x + 9x2 + -9x2 Combine like terms: 5x + -5x = 0 13x + -16x2 = 0 + 9x2 + -9x2 13x + -16x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 13x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(13 + -16x) = 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 '(13 + -16x)' equal to zero and attempt to solve: Simplifying 13 + -16x = 0 Solving 13 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -16x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -16x = 0 + -13 -16x = 0 + -13 Combine like terms: 0 + -13 = -13 -16x = -13 Divide each side by '-16'. x = 0.8125 Simplifying x = 0.8125Solution
x = {0, 0.8125}
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