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Simplifying 7x2 + 57x + 42 = 7 + 3x Reorder the terms: 42 + 57x + 7x2 = 7 + 3x Solving 42 + 57x + 7x2 = 7 + 3x Solving for variable 'x'. Reorder the terms: 42 + -7 + 57x + -3x + 7x2 = 7 + 3x + -7 + -3x Combine like terms: 42 + -7 = 35 35 + 57x + -3x + 7x2 = 7 + 3x + -7 + -3x Combine like terms: 57x + -3x = 54x 35 + 54x + 7x2 = 7 + 3x + -7 + -3x Reorder the terms: 35 + 54x + 7x2 = 7 + -7 + 3x + -3x Combine like terms: 7 + -7 = 0 35 + 54x + 7x2 = 0 + 3x + -3x 35 + 54x + 7x2 = 3x + -3x Combine like terms: 3x + -3x = 0 35 + 54x + 7x2 = 0 Factor a trinomial. (7 + x)(5 + 7x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 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 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143Solution
x = {-7, -0.7142857143}
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