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Simplifying x4 + 5x2 = 150 Reorder the terms: 5x2 + x4 = 150 Solving 5x2 + x4 = 150 Solving for variable 'x'. Reorder the terms: -150 + 5x2 + x4 = 150 + -150 Combine like terms: 150 + -150 = 0 -150 + 5x2 + x4 = 0 Factor a trinomial. (-15 + -1x2)(10 + -1x2) = 0Subproblem 1
Set the factor '(-15 + -1x2)' equal to zero and attempt to solve: Simplifying -15 + -1x2 = 0 Solving -15 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x2 = 0 + 15 -1x2 = 0 + 15 Combine like terms: 0 + 15 = 15 -1x2 = 15 Divide each side by '-1'. x2 = -15 Simplifying x2 = -15 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 '(10 + -1x2)' equal to zero and attempt to solve: Simplifying 10 + -1x2 = 0 Solving 10 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x2 = 0 + -10 -1x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -1x2 = -10 Divide each side by '-1'. x2 = 10 Simplifying x2 = 10 Take the square root of each side: x = {-3.16227766, 3.16227766}Solution
x = {-3.16227766, 3.16227766}
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