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Simplifying (x + 6)(x + 6) = 49x Reorder the terms: (6 + x)(x + 6) = 49x Reorder the terms: (6 + x)(6 + x) = 49x Multiply (6 + x) * (6 + x) (6(6 + x) + x(6 + x)) = 49x ((6 * 6 + x * 6) + x(6 + x)) = 49x ((36 + 6x) + x(6 + x)) = 49x (36 + 6x + (6 * x + x * x)) = 49x (36 + 6x + (6x + x2)) = 49x Combine like terms: 6x + 6x = 12x (36 + 12x + x2) = 49x Solving 36 + 12x + x2 = 49x Solving for variable 'x'. Reorder the terms: 36 + 12x + -49x + x2 = 49x + -49x Combine like terms: 12x + -49x = -37x 36 + -37x + x2 = 49x + -49x Combine like terms: 49x + -49x = 0 36 + -37x + x2 = 0 Factor a trinomial. (1 + -1x)(36 + -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 '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Solution
x = {1, 36}
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