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Simplifying 4x4 = 2 + -7x2 Solving 4x4 = 2 + -7x2 Solving for variable 'x'. Reorder the terms: -2 + 7x2 + 4x4 = 2 + -7x2 + -2 + 7x2 Reorder the terms: -2 + 7x2 + 4x4 = 2 + -2 + -7x2 + 7x2 Combine like terms: 2 + -2 = 0 -2 + 7x2 + 4x4 = 0 + -7x2 + 7x2 -2 + 7x2 + 4x4 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -2 + 7x2 + 4x4 = 0 Factor a trinomial. (-2 + -1x2)(1 + -4x2) = 0 Factor a difference between two squares. (-2 + -1x2)((1 + 2x)(1 + -2x)) = 0Subproblem 1
Set the factor '(-2 + -1x2)' equal to zero and attempt to solve: Simplifying -2 + -1x2 = 0 Solving -2 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x2 = 0 + 2 -1x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1x2 = 2 Divide each side by '-1'. x2 = -2 Simplifying x2 = -2 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 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Subproblem 3
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-0.5, 0.5}
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