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Simplifying 56X4 + 57X2 + -8 = 0 Reorder the terms: -8 + 57X2 + 56X4 = 0 Solving -8 + 57X2 + 56X4 = 0 Solving for variable 'X'. Factor a trinomial. (-8 + -7X2)(1 + -8X2) = 0Subproblem 1
Set the factor '(-8 + -7X2)' equal to zero and attempt to solve: Simplifying -8 + -7X2 = 0 Solving -8 + -7X2 = 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 + -7X2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7X2 = 0 + 8 -7X2 = 0 + 8 Combine like terms: 0 + 8 = 8 -7X2 = 8 Divide each side by '-7'. X2 = -1.142857143 Simplifying X2 = -1.142857143 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 '(1 + -8X2)' equal to zero and attempt to solve: Simplifying 1 + -8X2 = 0 Solving 1 + -8X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8X2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8X2 = 0 + -1 -8X2 = 0 + -1 Combine like terms: 0 + -1 = -1 -8X2 = -1 Divide each side by '-8'. X2 = 0.125 Simplifying X2 = 0.125 Take the square root of each side: X = {-0.353553391, 0.353553391}Solution
X = {-0.353553391, 0.353553391}
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