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Simplifying 49x2 + -16x + -10 = 5x Reorder the terms: -10 + -16x + 49x2 = 5x Solving -10 + -16x + 49x2 = 5x Solving for variable 'x'. Reorder the terms: -10 + -16x + -5x + 49x2 = 5x + -5x Combine like terms: -16x + -5x = -21x -10 + -21x + 49x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -21x + 49x2 = 0 Factor a trinomial. (-2 + -7x)(5 + -7x) = 0Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve: Simplifying -2 + -7x = 0 Solving -2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 0 + 2 -7x = 0 + 2 Combine like terms: 0 + 2 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857Subproblem 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 = {-0.2857142857, 0.7142857143}
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