x(5x+2)=5(x^2-3)

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Solution for x(5x+2)=5(x^2-3) equation: 


Simplifying
x(5x + 2) = 5(x2 + -3)

Reorder the terms:
x(2 + 5x) = 5(x2 + -3)
(2 * x + 5x * x) = 5(x2 + -3)
(2x + 5x2) = 5(x2 + -3)

Reorder the terms:
2x + 5x2 = 5(-3 + x2)
2x + 5x2 = (-3 * 5 + x2 * 5)
2x + 5x2 = (-15 + 5x2)

Add '-5x2' to each side of the equation.
2x + 5x2 + -5x2 = -15 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
2x + 0 = -15 + 5x2 + -5x2
2x = -15 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
2x = -15 + 0
2x = -15

Solving
2x = -15

Solving for variable 'x'.

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

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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