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Simplifying 15x4 + -26x2 + -21 = 0 Reorder the terms: -21 + -26x2 + 15x4 = 0 Solving -21 + -26x2 + 15x4 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -5x2)(7 + -3x2) = 0Subproblem 1
Set the factor '(-3 + -5x2)' equal to zero and attempt to solve: Simplifying -3 + -5x2 = 0 Solving -3 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x2 = 0 + 3 -5x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -5x2 = 3 Divide each side by '-5'. x2 = -0.6 Simplifying x2 = -0.6 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 '(7 + -3x2)' equal to zero and attempt to solve: Simplifying 7 + -3x2 = 0 Solving 7 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x2 = 0 + -7 -3x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3x2 = -7 Divide each side by '-3'. x2 = 2.333333333 Simplifying x2 = 2.333333333 Take the square root of each side: x = {-1.527525232, 1.527525232}Solution
x = {-1.527525232, 1.527525232}
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