(7x+6)(2x+5)=

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Solution for (7x+6)(2x+5)= equation:


Simplifying
(7x + 6)(2x + 5) = 0

Reorder the terms:
(6 + 7x)(2x + 5) = 0

Reorder the terms:
(6 + 7x)(5 + 2x) = 0

Multiply (6 + 7x) * (5 + 2x)
(6(5 + 2x) + 7x * (5 + 2x)) = 0
((5 * 6 + 2x * 6) + 7x * (5 + 2x)) = 0
((30 + 12x) + 7x * (5 + 2x)) = 0
(30 + 12x + (5 * 7x + 2x * 7x)) = 0
(30 + 12x + (35x + 14x2)) = 0

Combine like terms: 12x + 35x = 47x
(30 + 47x + 14x2) = 0

Solving
30 + 47x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 2x)(6 + 7x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(6 + 7x)' equal to zero and attempt to solve: Simplifying 6 + 7x = 0 Solving 6 + 7x = 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 + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 0 + -6 7x = 0 + -6 Combine like terms: 0 + -6 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571

Solution

x = {-2.5, -0.8571428571}

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