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Simplifying 6x2 = 35x + -50 Reorder the terms: 6x2 = -50 + 35x Solving 6x2 = -50 + 35x Solving for variable 'x'. Reorder the terms: 50 + -35x + 6x2 = -50 + 35x + 50 + -35x Reorder the terms: 50 + -35x + 6x2 = -50 + 50 + 35x + -35x Combine like terms: -50 + 50 = 0 50 + -35x + 6x2 = 0 + 35x + -35x 50 + -35x + 6x2 = 35x + -35x Combine like terms: 35x + -35x = 0 50 + -35x + 6x2 = 0 Factor a trinomial. (5 + -2x)(10 + -3x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 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 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {2.5, 3.333333333}
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