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Simplifying 5x2 = 49x + -72 Reorder the terms: 5x2 = -72 + 49x Solving 5x2 = -72 + 49x Solving for variable 'x'. Reorder the terms: 72 + -49x + 5x2 = -72 + 49x + 72 + -49x Reorder the terms: 72 + -49x + 5x2 = -72 + 72 + 49x + -49x Combine like terms: -72 + 72 = 0 72 + -49x + 5x2 = 0 + 49x + -49x 72 + -49x + 5x2 = 49x + -49x Combine like terms: 49x + -49x = 0 72 + -49x + 5x2 = 0 Factor a trinomial. (9 + -5x)(8 + -1x) = 0Subproblem 1
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 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 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {1.8, 8}
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