x(3x+7)=3(1+x^2+x)

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Solution for x(3x+7)=3(1+x^2+x) equation: 


Simplifying
x(3x + 7) = 3(1 + x2 + x)

Reorder the terms:
x(7 + 3x) = 3(1 + x2 + x)
(7 * x + 3x * x) = 3(1 + x2 + x)
(7x + 3x2) = 3(1 + x2 + x)

Reorder the terms:
7x + 3x2 = 3(1 + x + x2)
7x + 3x2 = (1 * 3 + x * 3 + x2 * 3)
7x + 3x2 = (3 + 3x + 3x2)

Add '-3x2' to each side of the equation.
7x + 3x2 + -3x2 = 3 + 3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
7x + 0 = 3 + 3x + 3x2 + -3x2
7x = 3 + 3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
7x = 3 + 3x + 0
7x = 3 + 3x

Solving
7x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7x + -3x = 3 + 3x + -3x

Combine like terms: 7x + -3x = 4x
4x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
4x = 3 + 0
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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