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Simplifying 4x4 = 85x2 + -441 Reorder the terms: 4x4 = -441 + 85x2 Solving 4x4 = -441 + 85x2 Solving for variable 'x'. Reorder the terms: 441 + -85x2 + 4x4 = -441 + 85x2 + 441 + -85x2 Reorder the terms: 441 + -85x2 + 4x4 = -441 + 441 + 85x2 + -85x2 Combine like terms: -441 + 441 = 0 441 + -85x2 + 4x4 = 0 + 85x2 + -85x2 441 + -85x2 + 4x4 = 85x2 + -85x2 Combine like terms: 85x2 + -85x2 = 0 441 + -85x2 + 4x4 = 0 Factor a trinomial. (9 + -1x2)(49 + -4x2) = 0 Factor a difference between two squares. ((3 + x)(3 + -1x))(49 + -4x2) = 0 Factor a difference between two squares. ((7 + 2x)(7 + -2x))(3 + x)(3 + -1x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 3
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Subproblem 4
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-3, 3, -3.5, 3.5}
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