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Simplifying 0 = 49x2 + -42x + 9 Reorder the terms: 0 = 9 + -42x + 49x2 Solving 0 = 9 + -42x + 49x2 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + 42x + -49x2 = 9 + -42x + 49x2 + -9 + 42x + -49x2 Reorder the terms: -9 + 42x + -49x2 = 9 + -9 + -42x + 42x + 49x2 + -49x2 Combine like terms: 9 + -9 = 0 -9 + 42x + -49x2 = 0 + -42x + 42x + 49x2 + -49x2 -9 + 42x + -49x2 = -42x + 42x + 49x2 + -49x2 Combine like terms: -42x + 42x = 0 -9 + 42x + -49x2 = 0 + 49x2 + -49x2 -9 + 42x + -49x2 = 49x2 + -49x2 Combine like terms: 49x2 + -49x2 = 0 -9 + 42x + -49x2 = 0 Factor a trinomial. (-3 + 7x)(3 + -7x) = 0Subproblem 1
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 = 0.4285714286Subproblem 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 = {0.4285714286, 0.4285714286}
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