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Simplifying 42x2 + -181x + 25 = 0 Reorder the terms: 25 + -181x + 42x2 = 0 Solving 25 + -181x + 42x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -7x)(25 + -6x) = 0Subproblem 1
Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Subproblem 2
Set the factor '(25 + -6x)' equal to zero and attempt to solve: Simplifying 25 + -6x = 0 Solving 25 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -6x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -6x = 0 + -25 -6x = 0 + -25 Combine like terms: 0 + -25 = -25 -6x = -25 Divide each side by '-6'. x = 4.166666667 Simplifying x = 4.166666667Solution
x = {0.1428571429, 4.166666667}
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