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Simplifying 2x2 + 4 = 7x + 8 Reorder the terms: 4 + 2x2 = 7x + 8 Reorder the terms: 4 + 2x2 = 8 + 7x Solving 4 + 2x2 = 8 + 7x Solving for variable 'x'. Reorder the terms: 4 + -8 + -7x + 2x2 = 8 + 7x + -8 + -7x Combine like terms: 4 + -8 = -4 -4 + -7x + 2x2 = 8 + 7x + -8 + -7x Reorder the terms: -4 + -7x + 2x2 = 8 + -8 + 7x + -7x Combine like terms: 8 + -8 = 0 -4 + -7x + 2x2 = 0 + 7x + -7x -4 + -7x + 2x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -7x + 2x2 = 0 Factor a trinomial. (-1 + -2x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-0.5, 4}
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