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Simplifying 16 = 49x2 + -42x Reorder the terms: 16 = -42x + 49x2 Solving 16 = -42x + 49x2 Solving for variable 'x'. Reorder the terms: 16 + 42x + -49x2 = -42x + 42x + 49x2 + -49x2 Combine like terms: -42x + 42x = 0 16 + 42x + -49x2 = 0 + 49x2 + -49x2 16 + 42x + -49x2 = 49x2 + -49x2 Combine like terms: 49x2 + -49x2 = 0 16 + 42x + -49x2 = 0 Factor a trinomial. (8 + -7x)(2 + 7x) = 0Subproblem 1
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 = 1.142857143Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {1.142857143, -0.2857142857}
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