2x*x+40=2x(x+5)

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Solution for 2x*x+40=2x(x+5) equation:


Simplifying
2x * x + 40 = 2x(x + 5)

Multiply x * x
2x2 + 40 = 2x(x + 5)

Reorder the terms:
40 + 2x2 = 2x(x + 5)

Reorder the terms:
40 + 2x2 = 2x(5 + x)
40 + 2x2 = (5 * 2x + x * 2x)
40 + 2x2 = (10x + 2x2)

Add '-2x2' to each side of the equation.
40 + 2x2 + -2x2 = 10x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
40 + 0 = 10x + 2x2 + -2x2
40 = 10x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
40 = 10x + 0
40 = 10x

Solving
40 = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
40 + -10x = 10x + -10x

Combine like terms: 10x + -10x = 0
40 + -10x = 0

Add '-40' to each side of the equation.
40 + -40 + -10x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -10x = 0 + -40
-10x = 0 + -40

Combine like terms: 0 + -40 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4

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