80=(2x+7)(2x+5)

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Solution for 80=(2x+7)(2x+5) equation: 


Simplifying
80 = (2x + 7)(2x + 5)

Reorder the terms:
80 = (7 + 2x)(2x + 5)

Reorder the terms:
80 = (7 + 2x)(5 + 2x)

Multiply (7 + 2x) * (5 + 2x)
80 = (7(5 + 2x) + 2x * (5 + 2x))
80 = ((5 * 7 + 2x * 7) + 2x * (5 + 2x))
80 = ((35 + 14x) + 2x * (5 + 2x))
80 = (35 + 14x + (5 * 2x + 2x * 2x))
80 = (35 + 14x + (10x + 4x2))

Combine like terms: 14x + 10x = 24x
80 = (35 + 24x + 4x2)

Solving
80 = 35 + 24x + 4x2

Solving for variable 'x'.

Combine like terms: 80 + -35 = 45
45 + -24x + -4x2 = 35 + 24x + 4x2 + -35 + -24x + -4x2

Reorder the terms:
45 + -24x + -4x2 = 35 + -35 + 24x + -24x + 4x2 + -4x2

Combine like terms: 35 + -35 = 0
45 + -24x + -4x2 = 0 + 24x + -24x + 4x2 + -4x2
45 + -24x + -4x2 = 24x + -24x + 4x2 + -4x2

Combine like terms: 24x + -24x = 0
45 + -24x + -4x2 = 0 + 4x2 + -4x2
45 + -24x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
45 + -24x + -4x2 = 0

Factor a trinomial.
(3 + -2x)(15 + 2x) = 0


Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(15 + 2x)' equal to zero and attempt to solve:

Simplifying
15 + 2x = 0

Solving
15 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + 2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 0 + -15
2x = 0 + -15

Combine like terms: 0 + -15 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5
Solution
x = {1.5, -7.5}

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