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Simplifying 7x2 = 44x + 35 Reorder the terms: 7x2 = 35 + 44x Solving 7x2 = 35 + 44x Solving for variable 'x'. Reorder the terms: -35 + -44x + 7x2 = 35 + 44x + -35 + -44x Reorder the terms: -35 + -44x + 7x2 = 35 + -35 + 44x + -44x Combine like terms: 35 + -35 = 0 -35 + -44x + 7x2 = 0 + 44x + -44x -35 + -44x + 7x2 = 44x + -44x Combine like terms: 44x + -44x = 0 -35 + -44x + 7x2 = 0 Factor a trinomial. (-5 + -7x)(7 + -1x) = 0Subproblem 1
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 = -0.7142857143Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-0.7142857143, 7}
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