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Simplifying (x4) + -1(18x2) = 0 x4 + -1(18x2) = 0 Remove parenthesis around (18x2) x4 + -1 * 18x2 = 0 Multiply -1 * 18 x4 + -18x2 = 0 Reorder the terms: -18x2 + x4 = 0 Solving -18x2 + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-18 + x2) = 0Subproblem 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 + x2)' equal to zero and attempt to solve: Simplifying -18 + x2 = 0 Solving -18 + x2 = 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 + x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x2 = 0 + 18 x2 = 0 + 18 Combine like terms: 0 + 18 = 18 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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