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Simplifying 0 = 49x2 + 98x + 33 Reorder the terms: 0 = 33 + 98x + 49x2 Solving 0 = 33 + 98x + 49x2 Solving for variable 'x'. Combine like terms: 0 + -33 = -33 -33 + -98x + -49x2 = 33 + 98x + 49x2 + -33 + -98x + -49x2 Reorder the terms: -33 + -98x + -49x2 = 33 + -33 + 98x + -98x + 49x2 + -49x2 Combine like terms: 33 + -33 = 0 -33 + -98x + -49x2 = 0 + 98x + -98x + 49x2 + -49x2 -33 + -98x + -49x2 = 98x + -98x + 49x2 + -49x2 Combine like terms: 98x + -98x = 0 -33 + -98x + -49x2 = 0 + 49x2 + -49x2 -33 + -98x + -49x2 = 49x2 + -49x2 Combine like terms: 49x2 + -49x2 = 0 -33 + -98x + -49x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(33 + 98x + 49x2) = 0 Factor a trinomial. -1((11 + 7x)(3 + 7x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(11 + 7x)' equal to zero and attempt to solve: Simplifying 11 + 7x = 0 Solving 11 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 0 + -11 7x = 0 + -11 Combine like terms: 0 + -11 = -11 7x = -11 Divide each side by '7'. x = -1.571428571 Simplifying x = -1.571428571Subproblem 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 = {-1.571428571, -0.4285714286}
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