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Simplifying 3x2 + -13x + -4 = 8x + -4 Reorder the terms: -4 + -13x + 3x2 = 8x + -4 Reorder the terms: -4 + -13x + 3x2 = -4 + 8x Add '4' to each side of the equation. -4 + -13x + 4 + 3x2 = -4 + 4 + 8x Reorder the terms: -4 + 4 + -13x + 3x2 = -4 + 4 + 8x Combine like terms: -4 + 4 = 0 0 + -13x + 3x2 = -4 + 4 + 8x -13x + 3x2 = -4 + 4 + 8x Combine like terms: -4 + 4 = 0 -13x + 3x2 = 0 + 8x -13x + 3x2 = 8x Solving -13x + 3x2 = 8x Solving for variable 'x'. Reorder the terms: -13x + -8x + 3x2 = 8x + -8x Combine like terms: -13x + -8x = -21x -21x + 3x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -21x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-7 + x) = 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 '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Solution
x = {0, 7}
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