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Simplifying 9 + -16x4 = 0 Solving 9 + -16x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -16x4 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -16x4 = 0 + -9 -16x4 = 0 + -9 Combine like terms: 0 + -9 = -9 -16x4 = -9 Divide each side by '-16'. x4 = 0.5625 Simplifying x4 = 0.5625 Reorder the terms: -0.5625 + x4 = 0.5625 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 -0.5625 + x4 = 0.0000 Factor a difference between two squares. (0.75 + x2)(-0.75 + x2) = 0.0000Subproblem 1
Set the factor '(0.75 + x2)' equal to zero and attempt to solve: Simplifying 0.75 + x2 = 0 Solving 0.75 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x2 = 0 + -0.75 x2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 x2 = -0.75 Simplifying x2 = -0.75 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 '(-0.75 + x2)' equal to zero and attempt to solve: Simplifying -0.75 + x2 = 0 Solving -0.75 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x2 = 0 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x2 = 0 + 0.75 x2 = 0 + 0.75 Combine like terms: 0 + 0.75 = 0.75 x2 = 0.75 Simplifying x2 = 0.75 Take the square root of each side: x = {-0.866025404, 0.866025404}Solution
x = {-0.866025404, 0.866025404}
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