(20x+15)(15-20x)=25-(20x-10)(20x-10)

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Solution for (20x+15)(15-20x)=25-(20x-10)(20x-10) equation: 


Simplifying
(20x + 15)(15 + -20x) = 25 + -1(20x + -10)(20x + -10)

Reorder the terms:
(15 + 20x)(15 + -20x) = 25 + -1(20x + -10)(20x + -10)

Multiply (15 + 20x) * (15 + -20x)
(15(15 + -20x) + 20x * (15 + -20x)) = 25 + -1(20x + -10)(20x + -10)
((15 * 15 + -20x * 15) + 20x * (15 + -20x)) = 25 + -1(20x + -10)(20x + -10)
((225 + -300x) + 20x * (15 + -20x)) = 25 + -1(20x + -10)(20x + -10)
(225 + -300x + (15 * 20x + -20x * 20x)) = 25 + -1(20x + -10)(20x + -10)
(225 + -300x + (300x + -400x2)) = 25 + -1(20x + -10)(20x + -10)

Combine like terms: -300x + 300x = 0
(225 + 0 + -400x2) = 25 + -1(20x + -10)(20x + -10)
(225 + -400x2) = 25 + -1(20x + -10)(20x + -10)

Reorder the terms:
225 + -400x2 = 25 + -1(-10 + 20x)(20x + -10)

Reorder the terms:
225 + -400x2 = 25 + -1(-10 + 20x)(-10 + 20x)

Multiply (-10 + 20x) * (-10 + 20x)
225 + -400x2 = 25 + -1(-10(-10 + 20x) + 20x * (-10 + 20x))
225 + -400x2 = 25 + -1((-10 * -10 + 20x * -10) + 20x * (-10 + 20x))
225 + -400x2 = 25 + -1((100 + -200x) + 20x * (-10 + 20x))
225 + -400x2 = 25 + -1(100 + -200x + (-10 * 20x + 20x * 20x))
225 + -400x2 = 25 + -1(100 + -200x + (-200x + 400x2))

Combine like terms: -200x + -200x = -400x
225 + -400x2 = 25 + -1(100 + -400x + 400x2)
225 + -400x2 = 25 + (100 * -1 + -400x * -1 + 400x2 * -1)
225 + -400x2 = 25 + (-100 + 400x + -400x2)

Combine like terms: 25 + -100 = -75
225 + -400x2 = -75 + 400x + -400x2

Add '400x2' to each side of the equation.
225 + -400x2 + 400x2 = -75 + 400x + -400x2 + 400x2

Combine like terms: -400x2 + 400x2 = 0
225 + 0 = -75 + 400x + -400x2 + 400x2
225 = -75 + 400x + -400x2 + 400x2

Combine like terms: -400x2 + 400x2 = 0
225 = -75 + 400x + 0
225 = -75 + 400x

Solving
225 = -75 + 400x

Solving for variable 'x'.

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

Add '-400x' to each side of the equation.
225 + -400x = -75 + 400x + -400x

Combine like terms: 400x + -400x = 0
225 + -400x = -75 + 0
225 + -400x = -75

Add '-225' to each side of the equation.
225 + -225 + -400x = -75 + -225

Combine like terms: 225 + -225 = 0
0 + -400x = -75 + -225
-400x = -75 + -225

Combine like terms: -75 + -225 = -300
-400x = -300

Divide each side by '-400'.
x = 0.75

Simplifying
x = 0.75

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