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Simplifying 2x * 2x + 7x + -57 = 0 Reorder the terms for easier multiplication: 2 * 2x * x + 7x + -57 = 0 Multiply 2 * 2 4x * x + 7x + -57 = 0 Multiply x * x 4x2 + 7x + -57 = 0 Reorder the terms: -57 + 7x + 4x2 = 0 Solving -57 + 7x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-19 + -4x)(3 + -1x) = 0Subproblem 1
Set the factor '(-19 + -4x)' equal to zero and attempt to solve: Simplifying -19 + -4x = 0 Solving -19 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -4x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -4x = 0 + 19 -4x = 0 + 19 Combine like terms: 0 + 19 = 19 -4x = 19 Divide each side by '-4'. x = -4.75 Simplifying x = -4.75Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-4.75, 3}
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