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Simplifying 5x5 = 100x3 Solving 5x5 = 100x3 Solving for variable 'x'. Reorder the terms: -100x3 + 5x5 = 100x3 + -100x3 Combine like terms: 100x3 + -100x3 = 0 -100x3 + 5x5 = 0 Factor out the Greatest Common Factor (GCF), '5x3'. 5x3(-20 + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-20 + x2)' equal to zero and attempt to solve: Simplifying -20 + x2 = 0 Solving -20 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x2 = 0 + 20 x2 = 0 + 20 Combine like terms: 0 + 20 = 20 x2 = 20 Simplifying x2 = 20 Take the square root of each side: x = {-4.472135955, 4.472135955}Solution
x = {-4.472135955, 4.472135955}
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