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Simplifying 10x4 + 29x2 + -21 = 0 Reorder the terms: -21 + 29x2 + 10x4 = 0 Solving -21 + 29x2 + 10x4 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -2x2)(3 + -5x2) = 0Subproblem 1
Set the factor '(-7 + -2x2)' equal to zero and attempt to solve: Simplifying -7 + -2x2 = 0 Solving -7 + -2x2 = 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 + -2x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x2 = 0 + 7 -2x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -2x2 = 7 Divide each side by '-2'. x2 = -3.5 Simplifying x2 = -3.5 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 '(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 Take the square root of each side: x = {-0.774596669, 0.774596669}Solution
x = {-0.774596669, 0.774596669}
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