5x(x+6)=5x*x+27x+3

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Solution for 5x(x+6)=5x*x+27x+3 equation:


Simplifying
5x(x + 6) = 5x * x + 27x + 3

Reorder the terms:
5x(6 + x) = 5x * x + 27x + 3
(6 * 5x + x * 5x) = 5x * x + 27x + 3
(30x + 5x2) = 5x * x + 27x + 3

Multiply x * x
30x + 5x2 = 5x2 + 27x + 3

Reorder the terms:
30x + 5x2 = 3 + 27x + 5x2

Add '-5x2' to each side of the equation.
30x + 5x2 + -5x2 = 3 + 27x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
30x + 0 = 3 + 27x + 5x2 + -5x2
30x = 3 + 27x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
30x = 3 + 27x + 0
30x = 3 + 27x

Solving
30x = 3 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
30x + -27x = 3 + 27x + -27x

Combine like terms: 30x + -27x = 3x
3x = 3 + 27x + -27x

Combine like terms: 27x + -27x = 0
3x = 3 + 0
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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