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Simplifying 5x3 + -40x + -100x = 0 Reorder the terms: -40x + -100x + 5x3 = 0 Combine like terms: -40x + -100x = -140x -140x + 5x3 = 0 Solving -140x + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-28 + x2) = 0 Ignore the factor 5.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 '(-28 + x2)' equal to zero and attempt to solve: Simplifying -28 + x2 = 0 Solving -28 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + x2 = 0 + 28 Combine like terms: -28 + 28 = 0 0 + x2 = 0 + 28 x2 = 0 + 28 Combine like terms: 0 + 28 = 28 x2 = 28 Simplifying x2 = 28 Take the square root of each side: x = {-5.291502622, 5.291502622}Solution
x = {0, -5.291502622, 5.291502622}
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