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Simplifying 3x2 + -6x = x2 + 5x Reorder the terms: -6x + 3x2 = x2 + 5x Reorder the terms: -6x + 3x2 = 5x + x2 Solving -6x + 3x2 = 5x + x2 Solving for variable 'x'. Reorder the terms: -6x + -5x + 3x2 + -1x2 = 5x + x2 + -5x + -1x2 Combine like terms: -6x + -5x = -11x -11x + 3x2 + -1x2 = 5x + x2 + -5x + -1x2 Combine like terms: 3x2 + -1x2 = 2x2 -11x + 2x2 = 5x + x2 + -5x + -1x2 Reorder the terms: -11x + 2x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 -11x + 2x2 = 0 + x2 + -1x2 -11x + 2x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -11x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-11 + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying -11 + 2x = 0 Solving -11 + 2x = 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 + 2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 0 + 11 2x = 0 + 11 Combine like terms: 0 + 11 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5Solution
x = {0, 5.5}
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