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Simplifying 4x3 + -5x2 = -1x2 Reorder the terms: -5x2 + 4x3 = -1x2 Solving -5x2 + 4x3 = -1x2 Solving for variable 'x'. Reorder the terms: -5x2 + x2 + 4x3 = -1x2 + x2 Combine like terms: -5x2 + x2 = -4x2 -4x2 + 4x3 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -4x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-1 + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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