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Simplifying -49x2 + 77x + -24 = 0 Reorder the terms: -24 + 77x + -49x2 = 0 Solving -24 + 77x + -49x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + 7x)(3 + -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 '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {1.142857143, 0.4285714286}
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