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Simplifying 4x + 6x = 9x2 + -15x Combine like terms: 4x + 6x = 10x 10x = 9x2 + -15x Reorder the terms: 10x = -15x + 9x2 Solving 10x = -15x + 9x2 Solving for variable 'x'. Combine like terms: 10x + 15x = 25x 25x + -9x2 = -15x + 9x2 + 15x + -9x2 Reorder the terms: 25x + -9x2 = -15x + 15x + 9x2 + -9x2 Combine like terms: -15x + 15x = 0 25x + -9x2 = 0 + 9x2 + -9x2 25x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 25x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(25 + -9x) = 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 '(25 + -9x)' equal to zero and attempt to solve: Simplifying 25 + -9x = 0 Solving 25 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -9x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -9x = 0 + -25 -9x = 0 + -25 Combine like terms: 0 + -25 = -25 -9x = -25 Divide each side by '-9'. x = 2.777777778 Simplifying x = 2.777777778Solution
x = {0, 2.777777778}
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