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Simplifying (x + 7)(x + 7) = 64x Reorder the terms: (7 + x)(x + 7) = 64x Reorder the terms: (7 + x)(7 + x) = 64x Multiply (7 + x) * (7 + x) (7(7 + x) + x(7 + x)) = 64x ((7 * 7 + x * 7) + x(7 + x)) = 64x ((49 + 7x) + x(7 + x)) = 64x (49 + 7x + (7 * x + x * x)) = 64x (49 + 7x + (7x + x2)) = 64x Combine like terms: 7x + 7x = 14x (49 + 14x + x2) = 64x Solving 49 + 14x + x2 = 64x Solving for variable 'x'. Reorder the terms: 49 + 14x + -64x + x2 = 64x + -64x Combine like terms: 14x + -64x = -50x 49 + -50x + x2 = 64x + -64x Combine like terms: 64x + -64x = 0 49 + -50x + x2 = 0 Factor a trinomial. (1 + -1x)(49 + -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 '(49 + -1x)' equal to zero and attempt to solve: Simplifying 49 + -1x = 0 Solving 49 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1x = 0 + -49 -1x = 0 + -49 Combine like terms: 0 + -49 = -49 -1x = -49 Divide each side by '-1'. x = 49 Simplifying x = 49Solution
x = {1, 49}
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