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Simplifying
3x2 + 7 = 4x2 + -2
Reorder the terms:
7 + 3x2 = 4x2 + -2
Reorder the terms:
7 + 3x2 = -2 + 4x2
Solving
7 + 3x2 = -2 + 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.
7 + 3x2 + -4x2 = -2 + 4x2 + -4x2
Combine like terms: 3x2 + -4x2 = -1x2
7 + -1x2 = -2 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
7 + -1x2 = -2 + 0
7 + -1x2 = -2
Add '-7' to each side of the equation.
7 + -7 + -1x2 = -2 + -7
Combine like terms: 7 + -7 = 0
0 + -1x2 = -2 + -7
-1x2 = -2 + -7
Combine like terms: -2 + -7 = -9
-1x2 = -9
Divide each side by '-1'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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