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Simplifying 15x4 + -26x2 + -80 = 0 Reorder the terms: -80 + -26x2 + 15x4 = 0 Solving -80 + -26x2 + 15x4 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -5x2)(10 + -3x2) = 0Subproblem 1
Set the factor '(-8 + -5x2)' equal to zero and attempt to solve: Simplifying -8 + -5x2 = 0 Solving -8 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x2 = 0 + 8 -5x2 = 0 + 8 Combine like terms: 0 + 8 = 8 -5x2 = 8 Divide each side by '-5'. x2 = -1.6 Simplifying x2 = -1.6 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 + -3x2)' equal to zero and attempt to solve: Simplifying 10 + -3x2 = 0 Solving 10 + -3x2 = 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 + -3x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x2 = 0 + -10 -3x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3x2 = -10 Divide each side by '-3'. x2 = 3.333333333 Simplifying x2 = 3.333333333 Take the square root of each side: x = {-1.825741858, 1.825741858}Solution
x = {-1.825741858, 1.825741858}
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