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Simplifying 0 = 5x4 + -90x2 Reorder the terms: 0 = -90x2 + 5x4 Solving 0 = -90x2 + 5x4 Solving for variable 'x'. Remove the zero: 90x2 + -5x4 = -90x2 + 5x4 + 90x2 + -5x4 Reorder the terms: 90x2 + -5x4 = -90x2 + 90x2 + 5x4 + -5x4 Combine like terms: -90x2 + 90x2 = 0 90x2 + -5x4 = 0 + 5x4 + -5x4 90x2 + -5x4 = 5x4 + -5x4 Combine like terms: 5x4 + -5x4 = 0 90x2 + -5x4 = 0 Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(18 + -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 '(18 + -1x2)' equal to zero and attempt to solve: Simplifying 18 + -1x2 = 0 Solving 18 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x2 = 0 + -18 -1x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -1x2 = -18 Divide each side by '-1'. x2 = 18 Simplifying x2 = 18 Take the square root of each side: x = {-4.242640687, 4.242640687}Solution
x = {0, -4.242640687, 4.242640687}
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