(3x-11)(x+4)=

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Solution for (3x-11)(x+4)= equation:


Simplifying
(3x + -11)(x + 4) = 0

Reorder the terms:
(-11 + 3x)(x + 4) = 0

Reorder the terms:
(-11 + 3x)(4 + x) = 0

Multiply (-11 + 3x) * (4 + x)
(-11(4 + x) + 3x * (4 + x)) = 0
((4 * -11 + x * -11) + 3x * (4 + x)) = 0
((-44 + -11x) + 3x * (4 + x)) = 0
(-44 + -11x + (4 * 3x + x * 3x)) = 0
(-44 + -11x + (12x + 3x2)) = 0

Combine like terms: -11x + 12x = 1x
(-44 + 1x + 3x2) = 0

Solving
-44 + 1x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x)(11 + -3x) = 0

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

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 = {-4, 3.666666667}

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