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Simplifying (2x2 + 7)(2x2 + -7) = 0 Reorder the terms: (7 + 2x2)(2x2 + -7) = 0 Reorder the terms: (7 + 2x2)(-7 + 2x2) = 0 Multiply (7 + 2x2) * (-7 + 2x2) (7(-7 + 2x2) + 2x2 * (-7 + 2x2)) = 0 ((-7 * 7 + 2x2 * 7) + 2x2 * (-7 + 2x2)) = 0 ((-49 + 14x2) + 2x2 * (-7 + 2x2)) = 0 (-49 + 14x2 + (-7 * 2x2 + 2x2 * 2x2)) = 0 (-49 + 14x2 + (-14x2 + 4x4)) = 0 Combine like terms: 14x2 + -14x2 = 0 (-49 + 0 + 4x4) = 0 (-49 + 4x4) = 0 Solving -49 + 4x4 = 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 + 4x4 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 4x4 = 0 + 49 4x4 = 0 + 49 Combine like terms: 0 + 49 = 49 4x4 = 49 Divide each side by '4'. x4 = 12.25 Simplifying x4 = 12.25 Reorder the terms: -12.25 + x4 = 12.25 + -12.25 Combine like terms: 12.25 + -12.25 = 0.00 -12.25 + x4 = 0.00 Factor a difference between two squares. (3.5 + x2)(-3.5 + x2) = 0.00Subproblem 1
Set the factor '(3.5 + x2)' equal to zero and attempt to solve: Simplifying 3.5 + x2 = 0 Solving 3.5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x2 = 0 + -3.5 x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 x2 = -3.5 Simplifying x2 = -3.5 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 '(-3.5 + x2)' equal to zero and attempt to solve: Simplifying -3.5 + x2 = 0 Solving -3.5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + x2 = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x2 = 0 + 3.5 x2 = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 x2 = 3.5 Simplifying x2 = 3.5 Take the square root of each side: x = {-1.870828693, 1.870828693}Solution
x = {-1.870828693, 1.870828693}
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