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Simplifying 2x2 = 7x + 49 Reorder the terms: 2x2 = 49 + 7x Solving 2x2 = 49 + 7x Solving for variable 'x'. Reorder the terms: -49 + -7x + 2x2 = 49 + 7x + -49 + -7x Reorder the terms: -49 + -7x + 2x2 = 49 + -49 + 7x + -7x Combine like terms: 49 + -49 = 0 -49 + -7x + 2x2 = 0 + 7x + -7x -49 + -7x + 2x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -49 + -7x + 2x2 = 0 Factor a trinomial. (-7 + -2x)(7 + -1x) = 0Subproblem 1
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 = -3.5Subproblem 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 = {-3.5, 7}
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