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Simplifying
2x2 + 35 = 1315 + -3x2
Reorder the terms:
35 + 2x2 = 1315 + -3x2
Solving
35 + 2x2 = 1315 + -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.
35 + 2x2 + 3x2 = 1315 + -3x2 + 3x2
Combine like terms: 2x2 + 3x2 = 5x2
35 + 5x2 = 1315 + -3x2 + 3x2
Combine like terms: -3x2 + 3x2 = 0
35 + 5x2 = 1315 + 0
35 + 5x2 = 1315
Add '-35' to each side of the equation.
35 + -35 + 5x2 = 1315 + -35
Combine like terms: 35 + -35 = 0
0 + 5x2 = 1315 + -35
5x2 = 1315 + -35
Combine like terms: 1315 + -35 = 1280
5x2 = 1280
Divide each side by '5'.
x2 = 256
Simplifying
x2 = 256
Take the square root of each side:
x = {-16, 16}
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