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Simplifying
2x2 + -5 = 15 + -3x2
Reorder the terms:
-5 + 2x2 = 15 + -3x2
Solving
-5 + 2x2 = 15 + -3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x2' to each side of the equation.
-5 + 2x2 + 3x2 = 15 + -3x2 + 3x2
Combine like terms: 2x2 + 3x2 = 5x2
-5 + 5x2 = 15 + -3x2 + 3x2
Combine like terms: -3x2 + 3x2 = 0
-5 + 5x2 = 15 + 0
-5 + 5x2 = 15
Add '5' to each side of the equation.
-5 + 5 + 5x2 = 15 + 5
Combine like terms: -5 + 5 = 0
0 + 5x2 = 15 + 5
5x2 = 15 + 5
Combine like terms: 15 + 5 = 20
5x2 = 20
Divide each side by '5'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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