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Simplifying 13x2 + -5x = 6x + -2x2 Reorder the terms: -5x + 13x2 = 6x + -2x2 Solving -5x + 13x2 = 6x + -2x2 Solving for variable 'x'. Reorder the terms: -5x + -6x + 13x2 + 2x2 = 6x + -2x2 + -6x + 2x2 Combine like terms: -5x + -6x = -11x -11x + 13x2 + 2x2 = 6x + -2x2 + -6x + 2x2 Combine like terms: 13x2 + 2x2 = 15x2 -11x + 15x2 = 6x + -2x2 + -6x + 2x2 Reorder the terms: -11x + 15x2 = 6x + -6x + -2x2 + 2x2 Combine like terms: 6x + -6x = 0 -11x + 15x2 = 0 + -2x2 + 2x2 -11x + 15x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -11x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-11 + 15x) = 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 '(-11 + 15x)' equal to zero and attempt to solve: Simplifying -11 + 15x = 0 Solving -11 + 15x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 15x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 15x = 0 + 11 15x = 0 + 11 Combine like terms: 0 + 11 = 11 15x = 11 Divide each side by '15'. x = 0.7333333333 Simplifying x = 0.7333333333Solution
x = {0, 0.7333333333}
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