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Simplifying 7x2 = 29x + 30 Reorder the terms: 7x2 = 30 + 29x Solving 7x2 = 30 + 29x Solving for variable 'x'. Reorder the terms: -30 + -29x + 7x2 = 30 + 29x + -30 + -29x Reorder the terms: -30 + -29x + 7x2 = 30 + -30 + 29x + -29x Combine like terms: 30 + -30 = 0 -30 + -29x + 7x2 = 0 + 29x + -29x -30 + -29x + 7x2 = 29x + -29x Combine like terms: 29x + -29x = 0 -30 + -29x + 7x2 = 0 Factor a trinomial. (-6 + -7x)(5 + -1x) = 0Subproblem 1
Set the factor '(-6 + -7x)' equal to zero and attempt to solve: Simplifying -6 + -7x = 0 Solving -6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 0 + 6 -7x = 0 + 6 Combine like terms: 0 + 6 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571Subproblem 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 = {-0.8571428571, 5}
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