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Simplifying (x + -4)(x + -4) + -49 = 0 Reorder the terms: (-4 + x)(x + -4) + -49 = 0 Reorder the terms: (-4 + x)(-4 + x) + -49 = 0 Multiply (-4 + x) * (-4 + x) (-4(-4 + x) + x(-4 + x)) + -49 = 0 ((-4 * -4 + x * -4) + x(-4 + x)) + -49 = 0 ((16 + -4x) + x(-4 + x)) + -49 = 0 (16 + -4x + (-4 * x + x * x)) + -49 = 0 (16 + -4x + (-4x + x2)) + -49 = 0 Combine like terms: -4x + -4x = -8x (16 + -8x + x2) + -49 = 0 Reorder the terms: 16 + -49 + -8x + x2 = 0 Combine like terms: 16 + -49 = -33 -33 + -8x + x2 = 0 Solving -33 + -8x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(11 + -1x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-3, 11}
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