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Simplifying 2x(x + 7) = 5x + 35 Reorder the terms: 2x(7 + x) = 5x + 35 (7 * 2x + x * 2x) = 5x + 35 (14x + 2x2) = 5x + 35 Reorder the terms: 14x + 2x2 = 35 + 5x Solving 14x + 2x2 = 35 + 5x Solving for variable 'x'. Reorder the terms: -35 + 14x + -5x + 2x2 = 35 + 5x + -35 + -5x Combine like terms: 14x + -5x = 9x -35 + 9x + 2x2 = 35 + 5x + -35 + -5x Reorder the terms: -35 + 9x + 2x2 = 35 + -35 + 5x + -5x Combine like terms: 35 + -35 = 0 -35 + 9x + 2x2 = 0 + 5x + -5x -35 + 9x + 2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 9x + 2x2 = 0 Factor a trinomial. (-7 + -1x)(5 + -2x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
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 = 2.5Solution
x = {-7, 2.5}
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