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Simplifying 64 = (x + 3)(x + 3) Reorder the terms: 64 = (3 + x)(x + 3) Reorder the terms: 64 = (3 + x)(3 + x) Multiply (3 + x) * (3 + x) 64 = (3(3 + x) + x(3 + x)) 64 = ((3 * 3 + x * 3) + x(3 + x)) 64 = ((9 + 3x) + x(3 + x)) 64 = (9 + 3x + (3 * x + x * x)) 64 = (9 + 3x + (3x + x2)) Combine like terms: 3x + 3x = 6x 64 = (9 + 6x + x2) Solving 64 = 9 + 6x + x2 Solving for variable 'x'. Combine like terms: 64 + -9 = 55 55 + -6x + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2 Reorder the terms: 55 + -6x + -1x2 = 9 + -9 + 6x + -6x + x2 + -1x2 Combine like terms: 9 + -9 = 0 55 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2 55 + -6x + -1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 55 + -6x + -1x2 = 0 + x2 + -1x2 55 + -6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 55 + -6x + -1x2 = 0 Factor a trinomial. (5 + -1x)(11 + x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 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 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {5, -11}
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