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Simplifying 49x2 + 21x + -37 = 3 Reorder the terms: -37 + 21x + 49x2 = 3 Solving -37 + 21x + 49x2 = 3 Solving for variable 'x'. Reorder the terms: -37 + -3 + 21x + 49x2 = 3 + -3 Combine like terms: -37 + -3 = -40 -40 + 21x + 49x2 = 3 + -3 Combine like terms: 3 + -3 = 0 -40 + 21x + 49x2 = 0 Factor a trinomial. (-8 + -7x)(5 + -7x) = 0Subproblem 1
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 = -1.142857143Subproblem 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 = {-1.142857143, 0.7142857143}
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