(2x-5)(x+5)-2x*x=75

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Solution for (2x-5)(x+5)-2x*x=75 equation:


Simplifying
(2x + -5)(x + 5) + -2x * x = 75

Reorder the terms:
(-5 + 2x)(x + 5) + -2x * x = 75

Reorder the terms:
(-5 + 2x)(5 + x) + -2x * x = 75

Multiply (-5 + 2x) * (5 + x)
(-5(5 + x) + 2x * (5 + x)) + -2x * x = 75
((5 * -5 + x * -5) + 2x * (5 + x)) + -2x * x = 75
((-25 + -5x) + 2x * (5 + x)) + -2x * x = 75
(-25 + -5x + (5 * 2x + x * 2x)) + -2x * x = 75
(-25 + -5x + (10x + 2x2)) + -2x * x = 75

Combine like terms: -5x + 10x = 5x
(-25 + 5x + 2x2) + -2x * x = 75

Multiply x * x
-25 + 5x + 2x2 + -2x2 = 75

Combine like terms: 2x2 + -2x2 = 0
-25 + 5x + 0 = 75
-25 + 5x = 75

Solving
-25 + 5x = 75

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 5x = 75 + 25

Combine like terms: -25 + 25 = 0
0 + 5x = 75 + 25
5x = 75 + 25

Combine like terms: 75 + 25 = 100
5x = 100

Divide each side by '5'.
x = 20

Simplifying
x = 20

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