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Simplifying x2 + 4x + -144x = 0 Reorder the terms: 4x + -144x + x2 = 0 Combine like terms: 4x + -144x = -140x -140x + x2 = 0 Solving -140x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-140 + x) = 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 '(-140 + x)' equal to zero and attempt to solve: Simplifying -140 + x = 0 Solving -140 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '140' to each side of the equation. -140 + 140 + x = 0 + 140 Combine like terms: -140 + 140 = 0 0 + x = 0 + 140 x = 0 + 140 Combine like terms: 0 + 140 = 140 x = 140 Simplifying x = 140Solution
x = {0, 140}
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