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Simplifying 30x + 15 = x2 + 16x + 64 Reorder the terms: 15 + 30x = x2 + 16x + 64 Reorder the terms: 15 + 30x = 64 + 16x + x2 Solving 15 + 30x = 64 + 16x + x2 Solving for variable 'x'. Reorder the terms: 15 + -64 + 30x + -16x + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2 Combine like terms: 15 + -64 = -49 -49 + 30x + -16x + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2 Combine like terms: 30x + -16x = 14x -49 + 14x + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2 Reorder the terms: -49 + 14x + -1x2 = 64 + -64 + 16x + -16x + x2 + -1x2 Combine like terms: 64 + -64 = 0 -49 + 14x + -1x2 = 0 + 16x + -16x + x2 + -1x2 -49 + 14x + -1x2 = 16x + -16x + x2 + -1x2 Combine like terms: 16x + -16x = 0 -49 + 14x + -1x2 = 0 + x2 + -1x2 -49 + 14x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -49 + 14x + -1x2 = 0 Factor a trinomial. (-7 + x)(7 + -1x) = 0Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {7, 7}
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