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Simplifying
3x2 + 7 = 5x2 + -11
Reorder the terms:
7 + 3x2 = 5x2 + -11
Reorder the terms:
7 + 3x2 = -11 + 5x2
Solving
7 + 3x2 = -11 + 5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x2' to each side of the equation.
7 + 3x2 + -5x2 = -11 + 5x2 + -5x2
Combine like terms: 3x2 + -5x2 = -2x2
7 + -2x2 = -11 + 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
7 + -2x2 = -11 + 0
7 + -2x2 = -11
Add '-7' to each side of the equation.
7 + -7 + -2x2 = -11 + -7
Combine like terms: 7 + -7 = 0
0 + -2x2 = -11 + -7
-2x2 = -11 + -7
Combine like terms: -11 + -7 = -18
-2x2 = -18
Divide each side by '-2'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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