-(6x-11)(2x+5)=0

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Solution for -(6x-11)(2x+5)=0 equation:


Simplifying
-1(6x + -11)(2x + 5) = 0

Reorder the terms:
-1(-11 + 6x)(2x + 5) = 0

Reorder the terms:
-1(-11 + 6x)(5 + 2x) = 0

Multiply (-11 + 6x) * (5 + 2x)
-1(-11(5 + 2x) + 6x * (5 + 2x)) = 0
-1((5 * -11 + 2x * -11) + 6x * (5 + 2x)) = 0
-1((-55 + -22x) + 6x * (5 + 2x)) = 0
-1(-55 + -22x + (5 * 6x + 2x * 6x)) = 0
-1(-55 + -22x + (30x + 12x2)) = 0

Combine like terms: -22x + 30x = 8x
-1(-55 + 8x + 12x2) = 0
(-55 * -1 + 8x * -1 + 12x2 * -1) = 0
(55 + -8x + -12x2) = 0

Solving
55 + -8x + -12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -6x)(5 + 2x) = 0

Subproblem 1

Set the factor '(11 + -6x)' equal to zero and attempt to solve: Simplifying 11 + -6x = 0 Solving 11 + -6x = 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 + -6x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = 0 + -11 -6x = 0 + -11 Combine like terms: 0 + -11 = -11 -6x = -11 Divide each side by '-6'. x = 1.833333333 Simplifying x = 1.833333333

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 = {1.833333333, -2.5}

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