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Simplifying 7x2 + -1(-50x + -48) = 0 Reorder the terms: 7x2 + -1(-48 + -50x) = 0 7x2 + (-48 * -1 + -50x * -1) = 0 7x2 + (48 + 50x) = 0 Reorder the terms: 48 + 50x + 7x2 = 0 Solving 48 + 50x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + x)(8 + 7x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143Solution
x = {-6, -1.142857143}
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