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Simplifying 15x4 + -25x2 + 12x2 + -20 = 0 Reorder the terms: -20 + -25x2 + 12x2 + 15x4 = 0 Combine like terms: -25x2 + 12x2 = -13x2 -20 + -13x2 + 15x4 = 0 Solving -20 + -13x2 + 15x4 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -5x2)(5 + -3x2) = 0Subproblem 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 + -3x2)' equal to zero and attempt to solve: Simplifying 5 + -3x2 = 0 Solving 5 + -3x2 = 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 + -3x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x2 = 0 + -5 -3x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3x2 = -5 Divide each side by '-3'. x2 = 1.666666667 Simplifying x2 = 1.666666667 Take the square root of each side: x = {-1.290994449, 1.290994449}Solution
x = {-1.290994449, 1.290994449}
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