(1+x)(3x-11)=

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Solution for (1+x)(3x-11)= equation:


Simplifying
(1 + x)(3x + -11) = 0

Reorder the terms:
(1 + x)(-11 + 3x) = 0

Multiply (1 + x) * (-11 + 3x)
(1(-11 + 3x) + x(-11 + 3x)) = 0
((-11 * 1 + 3x * 1) + x(-11 + 3x)) = 0
((-11 + 3x) + x(-11 + 3x)) = 0
(-11 + 3x + (-11 * x + 3x * x)) = 0
(-11 + 3x + (-11x + 3x2)) = 0

Combine like terms: 3x + -11x = -8x
(-11 + -8x + 3x2) = 0

Solving
-11 + -8x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(11 + -3x) = 0

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(11 + -3x)' equal to zero and attempt to solve: Simplifying 11 + -3x = 0 Solving 11 + -3x = 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 + -3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 0 + -11 -3x = 0 + -11 Combine like terms: 0 + -11 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667

Solution

x = {-1, 3.666666667}

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