3x+2x(2x-3)=4x^2+42

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Solution for 3x+2x(2x-3)=4x^2+42 equation: 


Simplifying
3x + 2x(2x + -3) = 4x2 + 42

Reorder the terms:
3x + 2x(-3 + 2x) = 4x2 + 42
3x + (-3 * 2x + 2x * 2x) = 4x2 + 42
3x + (-6x + 4x2) = 4x2 + 42

Combine like terms: 3x + -6x = -3x
-3x + 4x2 = 4x2 + 42

Reorder the terms:
-3x + 4x2 = 42 + 4x2

Add '-4x2' to each side of the equation.
-3x + 4x2 + -4x2 = 42 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3x + 0 = 42 + 4x2 + -4x2
-3x = 42 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3x = 42 + 0
-3x = 42

Solving
-3x = 42

Solving for variable 'x'.

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

Divide each side by '-3'.
x = -14

Simplifying
x = -14

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