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Simplifying (6 + -1x)(4x + 1) = 0 Reorder the terms: (6 + -1x)(1 + 4x) = 0 Multiply (6 + -1x) * (1 + 4x) (6(1 + 4x) + -1x * (1 + 4x)) = 0 ((1 * 6 + 4x * 6) + -1x * (1 + 4x)) = 0 ((6 + 24x) + -1x * (1 + 4x)) = 0 (6 + 24x + (1 * -1x + 4x * -1x)) = 0 (6 + 24x + (-1x + -4x2)) = 0 Combine like terms: 24x + -1x = 23x (6 + 23x + -4x2) = 0 Solving 6 + 23x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -1x)(1 + 4x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {6, -0.25}
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