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Simplifying 3x + -1x2 + 2x + -4 = -4 Reorder the terms: -4 + 3x + 2x + -1x2 = -4 Combine like terms: 3x + 2x = 5x -4 + 5x + -1x2 = -4 Add '4' to each side of the equation. -4 + 5x + 4 + -1x2 = -4 + 4 Reorder the terms: -4 + 4 + 5x + -1x2 = -4 + 4 Combine like terms: -4 + 4 = 0 0 + 5x + -1x2 = -4 + 4 5x + -1x2 = -4 + 4 Combine like terms: -4 + 4 = 0 5x + -1x2 = 0 Solving 5x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -1x) = 0Subproblem 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0, 5}
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