5x^2+6x-3=6x+2

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Solution for 5x^2+6x-3=6x+2 equation: 


Simplifying
5x2 + 6x + -3 = 6x + 2

Reorder the terms:
-3 + 6x + 5x2 = 6x + 2

Reorder the terms:
-3 + 6x + 5x2 = 2 + 6x

Add '-6x' to each side of the equation.
-3 + 6x + -6x + 5x2 = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 0 + 5x2 = 2 + 6x + -6x
-3 + 5x2 = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 5x2 = 2 + 0
-3 + 5x2 = 2

Solving
-3 + 5x2 = 2

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 5x2 = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 5x2 = 2 + 3
5x2 = 2 + 3

Combine like terms: 2 + 3 = 5
5x2 = 5

Divide each side by '5'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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