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Simplifying (5x2 + -7)(5x2 + 7) = 0 Reorder the terms: (-7 + 5x2)(5x2 + 7) = 0 Reorder the terms: (-7 + 5x2)(7 + 5x2) = 0 Multiply (-7 + 5x2) * (7 + 5x2) (-7(7 + 5x2) + 5x2 * (7 + 5x2)) = 0 ((7 * -7 + 5x2 * -7) + 5x2 * (7 + 5x2)) = 0 ((-49 + -35x2) + 5x2 * (7 + 5x2)) = 0 (-49 + -35x2 + (7 * 5x2 + 5x2 * 5x2)) = 0 (-49 + -35x2 + (35x2 + 25x4)) = 0 Combine like terms: -35x2 + 35x2 = 0 (-49 + 0 + 25x4) = 0 (-49 + 25x4) = 0 Solving -49 + 25x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 25x4 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 25x4 = 0 + 49 25x4 = 0 + 49 Combine like terms: 0 + 49 = 49 25x4 = 49 Divide each side by '25'. x4 = 1.96 Simplifying x4 = 1.96 Reorder the terms: -1.96 + x4 = 1.96 + -1.96 Combine like terms: 1.96 + -1.96 = 0.00 -1.96 + x4 = 0.00 Factor a difference between two squares. (1.4 + x2)(-1.4 + x2) = 0.00Subproblem 1
Set the factor '(1.4 + x2)' equal to zero and attempt to solve: Simplifying 1.4 + x2 = 0 Solving 1.4 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + x2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + x2 = 0 + -1.4 x2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 x2 = -1.4 Simplifying x2 = -1.4 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 '(-1.4 + x2)' equal to zero and attempt to solve: Simplifying -1.4 + x2 = 0 Solving -1.4 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1.4' to each side of the equation. -1.4 + 1.4 + x2 = 0 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + x2 = 0 + 1.4 x2 = 0 + 1.4 Combine like terms: 0 + 1.4 = 1.4 x2 = 1.4 Simplifying x2 = 1.4 Take the square root of each side: x = {-1.183215957, 1.183215957}Solution
x = {-1.183215957, 1.183215957}
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