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Simplifying 2x2 = 9x + 35 Reorder the terms: 2x2 = 35 + 9x Solving 2x2 = 35 + 9x Solving for variable 'x'. Reorder the terms: -35 + -9x + 2x2 = 35 + 9x + -35 + -9x Reorder the terms: -35 + -9x + 2x2 = 35 + -35 + 9x + -9x Combine like terms: 35 + -35 = 0 -35 + -9x + 2x2 = 0 + 9x + -9x -35 + -9x + 2x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -35 + -9x + 2x2 = 0 Factor a trinomial. (-5 + -2x)(7 + -1x) = 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 '(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 = 7Solution
x = {-2.5, 7}
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