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Simplifying (x2 + -3)(x2 + 7) = 0 Reorder the terms: (-3 + x2)(x2 + 7) = 0 Reorder the terms: (-3 + x2)(7 + x2) = 0 Multiply (-3 + x2) * (7 + x2) (-3(7 + x2) + x2(7 + x2)) = 0 ((7 * -3 + x2 * -3) + x2(7 + x2)) = 0 ((-21 + -3x2) + x2(7 + x2)) = 0 (-21 + -3x2 + (7 * x2 + x2 * x2)) = 0 (-21 + -3x2 + (7x2 + x4)) = 0 Combine like terms: -3x2 + 7x2 = 4x2 (-21 + 4x2 + x4) = 0 Solving -21 + 4x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -1x2)(3 + -1x2) = 0Subproblem 1
Set the factor '(-7 + -1x2)' equal to zero and attempt to solve: Simplifying -7 + -1x2 = 0 Solving -7 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x2 = 0 + 7 -1x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -1x2 = 7 Divide each side by '-1'. x2 = -7 Simplifying x2 = -7 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 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {-1.732050808, 1.732050808}
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