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Simplifying 0 = 5x4 + -150x2 Reorder the terms: 0 = -150x2 + 5x4 Solving 0 = -150x2 + 5x4 Solving for variable 'x'. Remove the zero: 150x2 + -5x4 = -150x2 + 5x4 + 150x2 + -5x4 Reorder the terms: 150x2 + -5x4 = -150x2 + 150x2 + 5x4 + -5x4 Combine like terms: -150x2 + 150x2 = 0 150x2 + -5x4 = 0 + 5x4 + -5x4 150x2 + -5x4 = 5x4 + -5x4 Combine like terms: 5x4 + -5x4 = 0 150x2 + -5x4 = 0 Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(30 + -1x2) = 0 Ignore the factor 5.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 '(30 + -1x2)' equal to zero and attempt to solve: Simplifying 30 + -1x2 = 0 Solving 30 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x2 = 0 + -30 -1x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -1x2 = -30 Divide each side by '-1'. x2 = 30 Simplifying x2 = 30 Take the square root of each side: x = {-5.477225575, 5.477225575}Solution
x = {0, -5.477225575, 5.477225575}
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