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Simplifying 2x2 + 13x = 6x + 49 Reorder the terms: 13x + 2x2 = 6x + 49 Reorder the terms: 13x + 2x2 = 49 + 6x Solving 13x + 2x2 = 49 + 6x Solving for variable 'x'. Reorder the terms: -49 + 13x + -6x + 2x2 = 49 + 6x + -49 + -6x Combine like terms: 13x + -6x = 7x -49 + 7x + 2x2 = 49 + 6x + -49 + -6x Reorder the terms: -49 + 7x + 2x2 = 49 + -49 + 6x + -6x Combine like terms: 49 + -49 = 0 -49 + 7x + 2x2 = 0 + 6x + -6x -49 + 7x + 2x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -49 + 7x + 2x2 = 0 Factor a trinomial. (-7 + -1x)(7 + -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 '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-7, 3.5}
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