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

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


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

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

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

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

Combine like terms: 12x + 5x = 17x
(6 + 17x + 10x2) = 0

Solving
6 + 17x + 10x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2

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 = {-1.2, -0.5}

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