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

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Solution for (7x+5)(x+2)=0 equation:


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

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

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

Multiply (5 + 7x) * (2 + x)
(5(2 + x) + 7x * (2 + x)) = 0
((2 * 5 + x * 5) + 7x * (2 + x)) = 0
((10 + 5x) + 7x * (2 + x)) = 0
(10 + 5x + (2 * 7x + x * 7x)) = 0
(10 + 5x + (14x + 7x2)) = 0

Combine like terms: 5x + 14x = 19x
(10 + 19x + 7x2) = 0

Solving
10 + 19x + 7x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 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 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143

Solution

x = {-2, -0.7142857143}

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