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Simplifying 3x2 + 6x = 5x2 + -8x Reorder the terms: 6x + 3x2 = 5x2 + -8x Reorder the terms: 6x + 3x2 = -8x + 5x2 Solving 6x + 3x2 = -8x + 5x2 Solving for variable 'x'. Reorder the terms: 6x + 8x + 3x2 + -5x2 = -8x + 5x2 + 8x + -5x2 Combine like terms: 6x + 8x = 14x 14x + 3x2 + -5x2 = -8x + 5x2 + 8x + -5x2 Combine like terms: 3x2 + -5x2 = -2x2 14x + -2x2 = -8x + 5x2 + 8x + -5x2 Reorder the terms: 14x + -2x2 = -8x + 8x + 5x2 + -5x2 Combine like terms: -8x + 8x = 0 14x + -2x2 = 0 + 5x2 + -5x2 14x + -2x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 14x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(7 + -1x) = 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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0, 7}
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