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Simplifying 2x4 + -15x2 + 18 = 0 Reorder the terms: 18 + -15x2 + 2x4 = 0 Solving 18 + -15x2 + 2x4 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -2x2)(6 + -1x2) = 0Subproblem 1
Set the factor '(3 + -2x2)' equal to zero and attempt to solve: Simplifying 3 + -2x2 = 0 Solving 3 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x2 = 0 + -3 -2x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2x2 = -3 Divide each side by '-2'. x2 = 1.5 Simplifying x2 = 1.5 Take the square root of each side: x = {-1.224744871, 1.224744871}Subproblem 2
Set the factor '(6 + -1x2)' equal to zero and attempt to solve: Simplifying 6 + -1x2 = 0 Solving 6 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x2 = 0 + -6 -1x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1x2 = -6 Divide each side by '-1'. x2 = 6 Simplifying x2 = 6 Take the square root of each side: x = {-2.449489743, 2.449489743}Solution
x = {-1.224744871, 1.224744871, -2.449489743, 2.449489743}
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