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Simplifying 4x2 = 2 + -7x Solving 4x2 = 2 + -7x Solving for variable 'x'. Reorder the terms: -2 + 7x + 4x2 = 2 + -7x + -2 + 7x Reorder the terms: -2 + 7x + 4x2 = 2 + -2 + -7x + 7x Combine like terms: 2 + -2 = 0 -2 + 7x + 4x2 = 0 + -7x + 7x -2 + 7x + 4x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 7x + 4x2 = 0 Factor a trinomial. (-2 + -1x)(1 + -4x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-2, 0.25}
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