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Simplifying 0 = -4x2 + 7x + 2 Reorder the terms: 0 = 2 + 7x + -4x2 Solving 0 = 2 + 7x + -4x2 Solving for variable 'x'. Combine like terms: 0 + -2 = -2 -2 + -7x + 4x2 = 2 + 7x + -4x2 + -2 + -7x + 4x2 Reorder the terms: -2 + -7x + 4x2 = 2 + -2 + 7x + -7x + -4x2 + 4x2 Combine like terms: 2 + -2 = 0 -2 + -7x + 4x2 = 0 + 7x + -7x + -4x2 + 4x2 -2 + -7x + 4x2 = 7x + -7x + -4x2 + 4x2 Combine like terms: 7x + -7x = 0 -2 + -7x + 4x2 = 0 + -4x2 + 4x2 -2 + -7x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -2 + -7x + 4x2 = 0 Factor a trinomial. (-1 + -4x)(2 + -1x) = 0Subproblem 1
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 = -0.25Subproblem 2
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 = 2Solution
x = {-0.25, 2}
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