5(x+5)(x-10)=2(2.5x*x-1.9)

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Solution for 5(x+5)(x-10)=2(2.5x*x-1.9) equation: 


Simplifying
5(x + 5)(x + -10) = 2(2.5x * x + -1.9)

Reorder the terms:
5(5 + x)(x + -10) = 2(2.5x * x + -1.9)

Reorder the terms:
5(5 + x)(-10 + x) = 2(2.5x * x + -1.9)

Multiply (5 + x) * (-10 + x)
5(5(-10 + x) + x(-10 + x)) = 2(2.5x * x + -1.9)
5((-10 * 5 + x * 5) + x(-10 + x)) = 2(2.5x * x + -1.9)
5((-50 + 5x) + x(-10 + x)) = 2(2.5x * x + -1.9)
5(-50 + 5x + (-10 * x + x * x)) = 2(2.5x * x + -1.9)
5(-50 + 5x + (-10x + x2)) = 2(2.5x * x + -1.9)

Combine like terms: 5x + -10x = -5x
5(-50 + -5x + x2) = 2(2.5x * x + -1.9)
(-50 * 5 + -5x * 5 + x2 * 5) = 2(2.5x * x + -1.9)
(-250 + -25x + 5x2) = 2(2.5x * x + -1.9)

Multiply x * x
-250 + -25x + 5x2 = 2(2.5x2 + -1.9)

Reorder the terms:
-250 + -25x + 5x2 = 2(-1.9 + 2.5x2)
-250 + -25x + 5x2 = (-1.9 * 2 + 2.5x2 * 2)
-250 + -25x + 5x2 = (-3.8 + 5x2)

Add '-5x2' to each side of the equation.
-250 + -25x + 5x2 + -5x2 = -3.8 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-250 + -25x + 0 = -3.8 + 5x2 + -5x2
-250 + -25x = -3.8 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-250 + -25x = -3.8 + 0
-250 + -25x = -3.8

Solving
-250 + -25x = -3.8

Solving for variable 'x'.

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

Add '250' to each side of the equation.
-250 + 250 + -25x = -3.8 + 250

Combine like terms: -250 + 250 = 0
0 + -25x = -3.8 + 250
-25x = -3.8 + 250

Combine like terms: -3.8 + 250 = 246.2
-25x = 246.2

Divide each side by '-25'.
x = -9.848

Simplifying
x = -9.848

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