(-4x-11)(2x+5)=

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Solution for (-4x-11)(2x+5)= equation:


Simplifying
(-4x + -11)(2x + 5) = 0

Reorder the terms:
(-11 + -4x)(2x + 5) = 0

Reorder the terms:
(-11 + -4x)(5 + 2x) = 0

Multiply (-11 + -4x) * (5 + 2x)
(-11(5 + 2x) + -4x * (5 + 2x)) = 0
((5 * -11 + 2x * -11) + -4x * (5 + 2x)) = 0
((-55 + -22x) + -4x * (5 + 2x)) = 0
(-55 + -22x + (5 * -4x + 2x * -4x)) = 0
(-55 + -22x + (-20x + -8x2)) = 0

Combine like terms: -22x + -20x = -42x
(-55 + -42x + -8x2) = 0

Solving
-55 + -42x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(55 + 42x + 8x2) = 0

Factor a trinomial.
-1((11 + 4x)(5 + 2x)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(11 + 4x)' equal to zero and attempt to solve: Simplifying 11 + 4x = 0 Solving 11 + 4x = 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 + 4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 0 + -11 4x = 0 + -11 Combine like terms: 0 + -11 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75

Subproblem 2

Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5

Solution

x = {-2.75, -2.5}

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