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Simplifying 49x2 + -81 + 3(7x + -9) = 0 Reorder the terms: 49x2 + -81 + 3(-9 + 7x) = 0 49x2 + -81 + (-9 * 3 + 7x * 3) = 0 49x2 + -81 + (-27 + 21x) = 0 Reorder the terms: -81 + -27 + 21x + 49x2 = 0 Combine like terms: -81 + -27 = -108 -108 + 21x + 49x2 = 0 Solving -108 + 21x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (-12 + -7x)(9 + -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 '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286Solution
x = {-1.714285714, 1.285714286}
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