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Simplifying (x + -7)(x + -7) + -36 = 0 Reorder the terms: (-7 + x)(x + -7) + -36 = 0 Reorder the terms: (-7 + x)(-7 + x) + -36 = 0 Multiply (-7 + x) * (-7 + x) (-7(-7 + x) + x(-7 + x)) + -36 = 0 ((-7 * -7 + x * -7) + x(-7 + x)) + -36 = 0 ((49 + -7x) + x(-7 + x)) + -36 = 0 (49 + -7x + (-7 * x + x * x)) + -36 = 0 (49 + -7x + (-7x + x2)) + -36 = 0 Combine like terms: -7x + -7x = -14x (49 + -14x + x2) + -36 = 0 Reorder the terms: 49 + -36 + -14x + x2 = 0 Combine like terms: 49 + -36 = 13 13 + -14x + x2 = 0 Solving 13 + -14x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(13 + -1x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {1, 13}
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