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Simplifying 6 * 21 = x(x + 5) Multiply 6 * 21 126 = x(x + 5) Reorder the terms: 126 = x(5 + x) 126 = (5 * x + x * x) 126 = (5x + x2) Solving 126 = 5x + x2 Solving for variable 'x'. Reorder the terms: 126 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 126 + -5x + -1x2 = 0 + x2 + -1x2 126 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 126 + -5x + -1x2 = 0 Factor a trinomial. (9 + -1x)(14 + x) = 0Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {9, -14}
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