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Simplifying 4x2 + -27x + 23 = -7x + 2 Reorder the terms: 23 + -27x + 4x2 = -7x + 2 Reorder the terms: 23 + -27x + 4x2 = 2 + -7x Solving 23 + -27x + 4x2 = 2 + -7x Solving for variable 'x'. Reorder the terms: 23 + -2 + -27x + 7x + 4x2 = 2 + -7x + -2 + 7x Combine like terms: 23 + -2 = 21 21 + -27x + 7x + 4x2 = 2 + -7x + -2 + 7x Combine like terms: -27x + 7x = -20x 21 + -20x + 4x2 = 2 + -7x + -2 + 7x Reorder the terms: 21 + -20x + 4x2 = 2 + -2 + -7x + 7x Combine like terms: 2 + -2 = 0 21 + -20x + 4x2 = 0 + -7x + 7x 21 + -20x + 4x2 = -7x + 7x Combine like terms: -7x + 7x = 0 21 + -20x + 4x2 = 0 Factor a trinomial. (3 + -2x)(7 + -2x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {1.5, 3.5}
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