100=5x(5x+x)

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Solution for 100=5x(5x+x) equation:


Simplifying
100 = 5x(5x + x)

Combine like terms: 5x + x = 6x
100 = 5x(6x)

Remove parenthesis around (6x)
100 = 5x * 6x

Reorder the terms for easier multiplication:
100 = 5 * 6x * x

Multiply 5 * 6
100 = 30x * x

Multiply x * x
100 = 30x2

Solving
100 = 30x2

Solving for variable 'x'.

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

Add '-30x2' to each side of the equation.
100 + -30x2 = 30x2 + -30x2

Combine like terms: 30x2 + -30x2 = 0
100 + -30x2 = 0

Add '-100' to each side of the equation.
100 + -100 + -30x2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -30x2 = 0 + -100
-30x2 = 0 + -100

Combine like terms: 0 + -100 = -100
-30x2 = -100

Divide each side by '-30'.
x2 = 3.333333333

Simplifying
x2 = 3.333333333

Take the square root of each side:
x = {-1.825741858, 1.825741858}

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