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Simplifying 7x4 + 66x2 + -40 = 0 Reorder the terms: -40 + 66x2 + 7x4 = 0 Solving -40 + 66x2 + 7x4 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -1x2)(4 + -7x2) = 0Subproblem 1
Set the factor '(-10 + -1x2)' equal to zero and attempt to solve: Simplifying -10 + -1x2 = 0 Solving -10 + -1x2 = 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 + -1x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x2 = 0 + 10 -1x2 = 0 + 10 Combine like terms: 0 + 10 = 10 -1x2 = 10 Divide each side by '-1'. x2 = -10 Simplifying x2 = -10 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 '(4 + -7x2)' equal to zero and attempt to solve: Simplifying 4 + -7x2 = 0 Solving 4 + -7x2 = 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 + -7x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x2 = 0 + -4 -7x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -7x2 = -4 Divide each side by '-7'. x2 = 0.5714285714 Simplifying x2 = 0.5714285714 Take the square root of each side: x = {-0.755928946, 0.755928946}Solution
x = {-0.755928946, 0.755928946}
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