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Simplifying 4x4 + -36x2 = -81 Reorder the terms: -36x2 + 4x4 = -81 Solving -36x2 + 4x4 = -81 Solving for variable 'x'. Reorder the terms: 81 + -36x2 + 4x4 = -81 + 81 Combine like terms: -81 + 81 = 0 81 + -36x2 + 4x4 = 0 Factor a trinomial. (9 + -2x2)(9 + -2x2) = 0Subproblem 1
Set the factor '(9 + -2x2)' equal to zero and attempt to solve: Simplifying 9 + -2x2 = 0 Solving 9 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x2 = 0 + -9 -2x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2x2 = -9 Divide each side by '-2'. x2 = 4.5 Simplifying x2 = 4.5 Take the square root of each side: x = {-2.121320344, 2.121320344}Subproblem 2
Set the factor '(9 + -2x2)' equal to zero and attempt to solve: Simplifying 9 + -2x2 = 0 Solving 9 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x2 = 0 + -9 -2x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2x2 = -9 Divide each side by '-2'. x2 = 4.5 Simplifying x2 = 4.5 Take the square root of each side: x = {-2.121320344, 2.121320344}Solution
x = {-2.121320344, 2.121320344, -2.121320344, 2.121320344}
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