6x^2+9=4x^2+17

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Solution for 6x^2+9=4x^2+17 equation: 


Simplifying
6x2 + 9 = 4x2 + 17

Reorder the terms:
9 + 6x2 = 4x2 + 17

Reorder the terms:
9 + 6x2 = 17 + 4x2

Solving
9 + 6x2 = 17 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
9 + 6x2 + -4x2 = 17 + 4x2 + -4x2

Combine like terms: 6x2 + -4x2 = 2x2
9 + 2x2 = 17 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
9 + 2x2 = 17 + 0
9 + 2x2 = 17

Add '-9' to each side of the equation.
9 + -9 + 2x2 = 17 + -9

Combine like terms: 9 + -9 = 0
0 + 2x2 = 17 + -9
2x2 = 17 + -9

Combine like terms: 17 + -9 = 8
2x2 = 8

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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