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Simplifying 2x2 = 25x + 13 Reorder the terms: 2x2 = 13 + 25x Solving 2x2 = 13 + 25x Solving for variable 'x'. Reorder the terms: -13 + -25x + 2x2 = 13 + 25x + -13 + -25x Reorder the terms: -13 + -25x + 2x2 = 13 + -13 + 25x + -25x Combine like terms: 13 + -13 = 0 -13 + -25x + 2x2 = 0 + 25x + -25x -13 + -25x + 2x2 = 25x + -25x Combine like terms: 25x + -25x = 0 -13 + -25x + 2x2 = 0 Factor a trinomial. (-1 + -2x)(13 + -1x) = 0Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {-0.5, 13}
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