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Simplifying x2 + -4 = 4x2 + -9x + -4 Reorder the terms: -4 + x2 = 4x2 + -9x + -4 Reorder the terms: -4 + x2 = -4 + -9x + 4x2 Add '4' to each side of the equation. -4 + 4 + x2 = -4 + -9x + 4 + 4x2 Combine like terms: -4 + 4 = 0 0 + x2 = -4 + -9x + 4 + 4x2 x2 = -4 + -9x + 4 + 4x2 Reorder the terms: x2 = -4 + 4 + -9x + 4x2 Combine like terms: -4 + 4 = 0 x2 = 0 + -9x + 4x2 x2 = -9x + 4x2 Solving x2 = -9x + 4x2 Solving for variable 'x'. Reorder the terms: 9x + x2 + -4x2 = -9x + 4x2 + 9x + -4x2 Combine like terms: x2 + -4x2 = -3x2 9x + -3x2 = -9x + 4x2 + 9x + -4x2 Reorder the terms: 9x + -3x2 = -9x + 9x + 4x2 + -4x2 Combine like terms: -9x + 9x = 0 9x + -3x2 = 0 + 4x2 + -4x2 9x + -3x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 9x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, 3}
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