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Simplifying x2 + -6 = 4x2 + -6x + -6 Reorder the terms: -6 + x2 = 4x2 + -6x + -6 Reorder the terms: -6 + x2 = -6 + -6x + 4x2 Add '6' to each side of the equation. -6 + 6 + x2 = -6 + -6x + 6 + 4x2 Combine like terms: -6 + 6 = 0 0 + x2 = -6 + -6x + 6 + 4x2 x2 = -6 + -6x + 6 + 4x2 Reorder the terms: x2 = -6 + 6 + -6x + 4x2 Combine like terms: -6 + 6 = 0 x2 = 0 + -6x + 4x2 x2 = -6x + 4x2 Solving x2 = -6x + 4x2 Solving for variable 'x'. Reorder the terms: 6x + x2 + -4x2 = -6x + 4x2 + 6x + -4x2 Combine like terms: x2 + -4x2 = -3x2 6x + -3x2 = -6x + 4x2 + 6x + -4x2 Reorder the terms: 6x + -3x2 = -6x + 6x + 4x2 + -4x2 Combine like terms: -6x + 6x = 0 6x + -3x2 = 0 + 4x2 + -4x2 6x + -3x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 6x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(2 + -1x) = 0 Ignore the factor 3.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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 2}
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