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Simplifying 6x + x(9 + -1x) = 50 6x + (9 * x + -1x * x) = 50 6x + (9x + -1x2) = 50 Combine like terms: 6x + 9x = 15x 15x + -1x2 = 50 Solving 15x + -1x2 = 50 Solving for variable 'x'. Reorder the terms: -50 + 15x + -1x2 = 50 + -50 Combine like terms: 50 + -50 = 0 -50 + 15x + -1x2 = 0 Factor a trinomial. (-10 + x)(5 + -1x) = 0Subproblem 1
Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Subproblem 2
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 = 5Solution
x = {10, 5}
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