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Simplifying 96x2 + 336x = -294 Reorder the terms: 336x + 96x2 = -294 Solving 336x + 96x2 = -294 Solving for variable 'x'. Reorder the terms: 294 + 336x + 96x2 = -294 + 294 Combine like terms: -294 + 294 = 0 294 + 336x + 96x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(49 + 56x + 16x2) = 0 Factor a trinomial. 6((7 + 4x)(7 + 4x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75Subproblem 2
Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75Solution
x = {-1.75, -1.75}
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