x(2x+1)=2x^2+5x-12

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Solution for x(2x+1)=2x^2+5x-12 equation:


Simplifying
x(2x + 1) = 2x2 + 5x + -12

Reorder the terms:
x(1 + 2x) = 2x2 + 5x + -12
(1 * x + 2x * x) = 2x2 + 5x + -12
(1x + 2x2) = 2x2 + 5x + -12

Reorder the terms:
1x + 2x2 = -12 + 5x + 2x2

Add '-2x2' to each side of the equation.
1x + 2x2 + -2x2 = -12 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1x + 0 = -12 + 5x + 2x2 + -2x2
1x = -12 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1x = -12 + 5x + 0
1x = -12 + 5x

Solving
1x = -12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1x + -5x = -12 + 5x + -5x

Combine like terms: 1x + -5x = -4x
-4x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4x = -12 + 0
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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