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Simplifying 12x4 + -75 = 0 Reorder the terms: -75 + 12x4 = 0 Solving -75 + 12x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + 12x4 = 0 + 75 Combine like terms: -75 + 75 = 0 0 + 12x4 = 0 + 75 12x4 = 0 + 75 Combine like terms: 0 + 75 = 75 12x4 = 75 Divide each side by '12'. x4 = 6.25 Simplifying x4 = 6.25 Reorder the terms: -6.25 + x4 = 6.25 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 -6.25 + x4 = 0.00 Factor a difference between two squares. (2.5 + x2)(-2.5 + x2) = 0.00Subproblem 1
Set the factor '(2.5 + x2)' equal to zero and attempt to solve: Simplifying 2.5 + x2 = 0 Solving 2.5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x2 = 0 + -2.5 x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 x2 = -2.5 Simplifying x2 = -2.5 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 '(-2.5 + x2)' equal to zero and attempt to solve: Simplifying -2.5 + x2 = 0 Solving -2.5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x2 = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x2 = 0 + 2.5 x2 = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 x2 = 2.5 Simplifying x2 = 2.5 Take the square root of each side: x = {-1.58113883, 1.58113883}Solution
x = {-1.58113883, 1.58113883}
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