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Simplifying 5x4 + 12x2 + -576 = 0 Reorder the terms: -576 + 12x2 + 5x4 = 0 Solving -576 + 12x2 + 5x4 = 0 Solving for variable 'x'. Factor a trinomial. (-12 + -1x2)(48 + -5x2) = 0Subproblem 1
Set the factor '(-12 + -1x2)' equal to zero and attempt to solve: Simplifying -12 + -1x2 = 0 Solving -12 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x2 = 0 + 12 -1x2 = 0 + 12 Combine like terms: 0 + 12 = 12 -1x2 = 12 Divide each side by '-1'. x2 = -12 Simplifying x2 = -12 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 '(48 + -5x2)' equal to zero and attempt to solve: Simplifying 48 + -5x2 = 0 Solving 48 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -5x2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -5x2 = 0 + -48 -5x2 = 0 + -48 Combine like terms: 0 + -48 = -48 -5x2 = -48 Divide each side by '-5'. x2 = 9.6 Simplifying x2 = 9.6 Take the square root of each side: x = {-3.098386677, 3.098386677}Solution
x = {-3.098386677, 3.098386677}
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