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Simplifying 44x2 + 56x + 48 = 32x2 + 80x + 48 Reorder the terms: 48 + 56x + 44x2 = 32x2 + 80x + 48 Reorder the terms: 48 + 56x + 44x2 = 48 + 80x + 32x2 Add '-48' to each side of the equation. 48 + 56x + -48 + 44x2 = 48 + 80x + -48 + 32x2 Reorder the terms: 48 + -48 + 56x + 44x2 = 48 + 80x + -48 + 32x2 Combine like terms: 48 + -48 = 0 0 + 56x + 44x2 = 48 + 80x + -48 + 32x2 56x + 44x2 = 48 + 80x + -48 + 32x2 Reorder the terms: 56x + 44x2 = 48 + -48 + 80x + 32x2 Combine like terms: 48 + -48 = 0 56x + 44x2 = 0 + 80x + 32x2 56x + 44x2 = 80x + 32x2 Solving 56x + 44x2 = 80x + 32x2 Solving for variable 'x'. Reorder the terms: 56x + -80x + 44x2 + -32x2 = 80x + 32x2 + -80x + -32x2 Combine like terms: 56x + -80x = -24x -24x + 44x2 + -32x2 = 80x + 32x2 + -80x + -32x2 Combine like terms: 44x2 + -32x2 = 12x2 -24x + 12x2 = 80x + 32x2 + -80x + -32x2 Reorder the terms: -24x + 12x2 = 80x + -80x + 32x2 + -32x2 Combine like terms: 80x + -80x = 0 -24x + 12x2 = 0 + 32x2 + -32x2 -24x + 12x2 = 32x2 + -32x2 Combine like terms: 32x2 + -32x2 = 0 -24x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '12x'. 12x(-2 + x) = 0 Ignore the factor 12.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 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solution
x = {0, 2}
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