10(x-2)+19=(5x-1)(1-5x)

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Solution for 10(x-2)+19=(5x-1)(1-5x) equation: 


Simplifying
10(x + -2) + 19 = (5x + -1)(1 + -5x)

Reorder the terms:
10(-2 + x) + 19 = (5x + -1)(1 + -5x)
(-2 * 10 + x * 10) + 19 = (5x + -1)(1 + -5x)
(-20 + 10x) + 19 = (5x + -1)(1 + -5x)

Reorder the terms:
-20 + 19 + 10x = (5x + -1)(1 + -5x)

Combine like terms: -20 + 19 = -1
-1 + 10x = (5x + -1)(1 + -5x)

Reorder the terms:
-1 + 10x = (-1 + 5x)(1 + -5x)

Multiply (-1 + 5x) * (1 + -5x)
-1 + 10x = (-1(1 + -5x) + 5x * (1 + -5x))
-1 + 10x = ((1 * -1 + -5x * -1) + 5x * (1 + -5x))
-1 + 10x = ((-1 + 5x) + 5x * (1 + -5x))
-1 + 10x = (-1 + 5x + (1 * 5x + -5x * 5x))
-1 + 10x = (-1 + 5x + (5x + -25x2))

Combine like terms: 5x + 5x = 10x
-1 + 10x = (-1 + 10x + -25x2)

Add '1' to each side of the equation.
-1 + 1 + 10x = -1 + 10x + 1 + -25x2

Combine like terms: -1 + 1 = 0
0 + 10x = -1 + 10x + 1 + -25x2
10x = -1 + 10x + 1 + -25x2

Reorder the terms:
10x = -1 + 1 + 10x + -25x2

Combine like terms: -1 + 1 = 0
10x = 0 + 10x + -25x2
10x = 10x + -25x2

Add '-10x' to each side of the equation.
10x + -10x = 10x + -10x + -25x2

Combine like terms: 10x + -10x = 0
0 = 10x + -10x + -25x2

Combine like terms: 10x + -10x = 0
0 = 0 + -25x2
0 = -25x2

Solving
0 = -25x2

Solving for variable 'x'.

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

Add '25x2' to each side of the equation.
0 + 25x2 = -25x2 + 25x2
Remove the zero:
25x2 = -25x2 + 25x2

Combine like terms: -25x2 + 25x2 = 0
25x2 = 0

Divide each side by '25'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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