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Simplifying 4x4 + -225 = 32x2 Reorder the terms: -225 + 4x4 = 32x2 Solving -225 + 4x4 = 32x2 Solving for variable 'x'. Reorder the terms: -225 + -32x2 + 4x4 = 32x2 + -32x2 Combine like terms: 32x2 + -32x2 = 0 -225 + -32x2 + 4x4 = 0 Factor a trinomial. (-9 + -2x2)(25 + -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 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 '(25 + -2x2)' equal to zero and attempt to solve: Simplifying 25 + -2x2 = 0 Solving 25 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2x2 = 0 + -25 -2x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -2x2 = -25 Divide each side by '-2'. x2 = 12.5 Simplifying x2 = 12.5 Take the square root of each side: x = {-3.535533906, 3.535533906}Solution
x = {-3.535533906, 3.535533906}
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