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Simplifying 49x2 + 28x + -96 = 0 Reorder the terms: -96 + 28x + 49x2 = 0 Solving -96 + 28x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (-12 + -7x)(8 + -7x) = 0Subproblem 1
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 = -1.714285714Subproblem 2
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 = 1.142857143Solution
x = {-1.714285714, 1.142857143}
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