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Simplifying 3 = 4x2 + 3x + -7 Reorder the terms: 3 = -7 + 3x + 4x2 Solving 3 = -7 + 3x + 4x2 Solving for variable 'x'. Combine like terms: 3 + 7 = 10 10 + -3x + -4x2 = -7 + 3x + 4x2 + 7 + -3x + -4x2 Reorder the terms: 10 + -3x + -4x2 = -7 + 7 + 3x + -3x + 4x2 + -4x2 Combine like terms: -7 + 7 = 0 10 + -3x + -4x2 = 0 + 3x + -3x + 4x2 + -4x2 10 + -3x + -4x2 = 3x + -3x + 4x2 + -4x2 Combine like terms: 3x + -3x = 0 10 + -3x + -4x2 = 0 + 4x2 + -4x2 10 + -3x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 10 + -3x + -4x2 = 0 Factor a trinomial. (5 + -4x)(2 + x) = 0Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {1.25, -2}
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