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Simplifying 5x3 = 50x Solving 5x3 = 50x Solving for variable 'x'. Reorder the terms: -50x + 5x3 = 50x + -50x Combine like terms: 50x + -50x = 0 -50x + 5x3 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-10 + 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 '(-10 + x2)' equal to zero and attempt to solve: Simplifying -10 + x2 = 0 Solving -10 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x2 = 0 + 10 x2 = 0 + 10 Combine like terms: 0 + 10 = 10 x2 = 10 Simplifying x2 = 10 Take the square root of each side: x = {-3.16227766, 3.16227766}Solution
x = {0, -3.16227766, 3.16227766}
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