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Simplifying 49x2 + 28x + -192 = 0 Reorder the terms: -192 + 28x + 49x2 = 0 Solving -192 + 28x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (-16 + -7x)(12 + -7x) = 0Subproblem 1
Set the factor '(-16 + -7x)' equal to zero and attempt to solve: Simplifying -16 + -7x = 0 Solving -16 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -7x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -7x = 0 + 16 -7x = 0 + 16 Combine like terms: 0 + 16 = 16 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286Subproblem 2
Set the factor '(12 + -7x)' equal to zero and attempt to solve: Simplifying 12 + -7x = 0 Solving 12 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 0 + -12 -7x = 0 + -12 Combine like terms: 0 + -12 = -12 -7x = -12 Divide each side by '-7'. x = 1.714285714 Simplifying x = 1.714285714Solution
x = {-2.285714286, 1.714285714}
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