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Simplifying 4x2 + -35x + 51 = -7x + 6 Reorder the terms: 51 + -35x + 4x2 = -7x + 6 Reorder the terms: 51 + -35x + 4x2 = 6 + -7x Solving 51 + -35x + 4x2 = 6 + -7x Solving for variable 'x'. Reorder the terms: 51 + -6 + -35x + 7x + 4x2 = 6 + -7x + -6 + 7x Combine like terms: 51 + -6 = 45 45 + -35x + 7x + 4x2 = 6 + -7x + -6 + 7x Combine like terms: -35x + 7x = -28x 45 + -28x + 4x2 = 6 + -7x + -6 + 7x Reorder the terms: 45 + -28x + 4x2 = 6 + -6 + -7x + 7x Combine like terms: 6 + -6 = 0 45 + -28x + 4x2 = 0 + -7x + 7x 45 + -28x + 4x2 = -7x + 7x Combine like terms: -7x + 7x = 0 45 + -28x + 4x2 = 0 Factor a trinomial. (5 + -2x)(9 + -2x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {2.5, 4.5}
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