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Simplifying 49x2 + 42x + 9 = 25 Reorder the terms: 9 + 42x + 49x2 = 25 Solving 9 + 42x + 49x2 = 25 Solving for variable 'x'. Reorder the terms: 9 + -25 + 42x + 49x2 = 25 + -25 Combine like terms: 9 + -25 = -16 -16 + 42x + 49x2 = 25 + -25 Combine like terms: 25 + -25 = 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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