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Simplifying (7x + -11)(4x + 1) = 0 Reorder the terms: (-11 + 7x)(4x + 1) = 0 Reorder the terms: (-11 + 7x)(1 + 4x) = 0 Multiply (-11 + 7x) * (1 + 4x) (-11(1 + 4x) + 7x * (1 + 4x)) = 0 ((1 * -11 + 4x * -11) + 7x * (1 + 4x)) = 0 ((-11 + -44x) + 7x * (1 + 4x)) = 0 (-11 + -44x + (1 * 7x + 4x * 7x)) = 0 (-11 + -44x + (7x + 28x2)) = 0 Combine like terms: -44x + 7x = -37x (-11 + -37x + 28x2) = 0 Solving -11 + -37x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -4x)(11 + -7x) = 0Subproblem 1
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 = -0.25Subproblem 2
Set the factor '(11 + -7x)' equal to zero and attempt to solve: Simplifying 11 + -7x = 0 Solving 11 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -7x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -7x = 0 + -11 -7x = 0 + -11 Combine like terms: 0 + -11 = -11 -7x = -11 Divide each side by '-7'. x = 1.571428571 Simplifying x = 1.571428571Solution
x = {-0.25, 1.571428571}
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