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Simplifying 15x4 + -63x2 + -60 = 0 Reorder the terms: -60 + -63x2 + 15x4 = 0 Solving -60 + -63x2 + 15x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-20 + -21x2 + 5x4) = 0 Factor a trinomial. 3((-4 + -5x2)(5 + -1x2)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -5x2)' equal to zero and attempt to solve: Simplifying -4 + -5x2 = 0 Solving -4 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x2 = 0 + 4 -5x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -5x2 = 4 Divide each side by '-5'. x2 = -0.8 Simplifying x2 = -0.8 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 '(5 + -1x2)' equal to zero and attempt to solve: Simplifying 5 + -1x2 = 0 Solving 5 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x2 = 0 + -5 -1x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1x2 = -5 Divide each side by '-1'. x2 = 5 Simplifying x2 = 5 Take the square root of each side: x = {-2.236067978, 2.236067978}Solution
x = {-2.236067978, 2.236067978}
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