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Simplifying 12x + -6 = 5x2 + 7x + -6 Reorder the terms: -6 + 12x = 5x2 + 7x + -6 Reorder the terms: -6 + 12x = -6 + 7x + 5x2 Add '6' to each side of the equation. -6 + 6 + 12x = -6 + 7x + 6 + 5x2 Combine like terms: -6 + 6 = 0 0 + 12x = -6 + 7x + 6 + 5x2 12x = -6 + 7x + 6 + 5x2 Reorder the terms: 12x = -6 + 6 + 7x + 5x2 Combine like terms: -6 + 6 = 0 12x = 0 + 7x + 5x2 12x = 7x + 5x2 Solving 12x = 7x + 5x2 Solving for variable 'x'. Combine like terms: 12x + -7x = 5x 5x + -5x2 = 7x + 5x2 + -7x + -5x2 Reorder the terms: 5x + -5x2 = 7x + -7x + 5x2 + -5x2 Combine like terms: 7x + -7x = 0 5x + -5x2 = 0 + 5x2 + -5x2 5x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 5x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(1 + -1x) = 0 Ignore the factor 5.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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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