4x^2+3x-11=3x-2

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Solution for 4x^2+3x-11=3x-2 equation: 


Simplifying
4x2 + 3x + -11 = 3x + -2

Reorder the terms:
-11 + 3x + 4x2 = 3x + -2

Reorder the terms:
-11 + 3x + 4x2 = -2 + 3x

Add '-3x' to each side of the equation.
-11 + 3x + -3x + 4x2 = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + 0 + 4x2 = -2 + 3x + -3x
-11 + 4x2 = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + 4x2 = -2 + 0
-11 + 4x2 = -2

Solving
-11 + 4x2 = -2

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 4x2 = -2 + 11

Combine like terms: -11 + 11 = 0
0 + 4x2 = -2 + 11
4x2 = -2 + 11

Combine like terms: -2 + 11 = 9
4x2 = 9

Divide each side by '4'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}

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