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Simplifying -10x2 + 12x = -6x2 + -2x Reorder the terms: 12x + -10x2 = -6x2 + -2x Reorder the terms: 12x + -10x2 = -2x + -6x2 Solving 12x + -10x2 = -2x + -6x2 Solving for variable 'x'. Reorder the terms: 12x + 2x + -10x2 + 6x2 = -2x + -6x2 + 2x + 6x2 Combine like terms: 12x + 2x = 14x 14x + -10x2 + 6x2 = -2x + -6x2 + 2x + 6x2 Combine like terms: -10x2 + 6x2 = -4x2 14x + -4x2 = -2x + -6x2 + 2x + 6x2 Reorder the terms: 14x + -4x2 = -2x + 2x + -6x2 + 6x2 Combine like terms: -2x + 2x = 0 14x + -4x2 = 0 + -6x2 + 6x2 14x + -4x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 14x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(7 + -2x) = 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 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {0, 3.5}
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