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Simplifying
3x2 + -35 = 45 + -2x2
Reorder the terms:
-35 + 3x2 = 45 + -2x2
Solving
-35 + 3x2 = 45 + -2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x2' to each side of the equation.
-35 + 3x2 + 2x2 = 45 + -2x2 + 2x2
Combine like terms: 3x2 + 2x2 = 5x2
-35 + 5x2 = 45 + -2x2 + 2x2
Combine like terms: -2x2 + 2x2 = 0
-35 + 5x2 = 45 + 0
-35 + 5x2 = 45
Add '35' to each side of the equation.
-35 + 35 + 5x2 = 45 + 35
Combine like terms: -35 + 35 = 0
0 + 5x2 = 45 + 35
5x2 = 45 + 35
Combine like terms: 45 + 35 = 80
5x2 = 80
Divide each side by '5'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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