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Simplifying 9x(x + 5) = 3x + -49 Reorder the terms: 9x(5 + x) = 3x + -49 (5 * 9x + x * 9x) = 3x + -49 (45x + 9x2) = 3x + -49 Reorder the terms: 45x + 9x2 = -49 + 3x Solving 45x + 9x2 = -49 + 3x Solving for variable 'x'. Reorder the terms: 49 + 45x + -3x + 9x2 = -49 + 3x + 49 + -3x Combine like terms: 45x + -3x = 42x 49 + 42x + 9x2 = -49 + 3x + 49 + -3x Reorder the terms: 49 + 42x + 9x2 = -49 + 49 + 3x + -3x Combine like terms: -49 + 49 = 0 49 + 42x + 9x2 = 0 + 3x + -3x 49 + 42x + 9x2 = 3x + -3x Combine like terms: 3x + -3x = 0 49 + 42x + 9x2 = 0 Factor a trinomial. (7 + 3x)(7 + 3x) = 0Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 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 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 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 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Solution
x = {-2.333333333, -2.333333333}
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