(2x-1)(6x+5)=

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Solution for (2x-1)(6x+5)= equation:


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

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

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

Multiply (-1 + 2x) * (5 + 6x)
(-1(5 + 6x) + 2x * (5 + 6x)) = 0
((5 * -1 + 6x * -1) + 2x * (5 + 6x)) = 0
((-5 + -6x) + 2x * (5 + 6x)) = 0
(-5 + -6x + (5 * 2x + 6x * 2x)) = 0
(-5 + -6x + (10x + 12x2)) = 0

Combine like terms: -6x + 10x = 4x
(-5 + 4x + 12x2) = 0

Solving
-5 + 4x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -6x)(1 + -2x) = 0

Subproblem 1

Set the factor '(-5 + -6x)' equal to zero and attempt to solve: Simplifying -5 + -6x = 0 Solving -5 + -6x = 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 + -6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 0 + 5 -6x = 0 + 5 Combine like terms: 0 + 5 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {-0.8333333333, 0.5}

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