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Simplifying
3x2 + -7 = 2x2 + -4
Reorder the terms:
-7 + 3x2 = 2x2 + -4
Reorder the terms:
-7 + 3x2 = -4 + 2x2
Solving
-7 + 3x2 = -4 + 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.
-7 + 3x2 + -2x2 = -4 + 2x2 + -2x2
Combine like terms: 3x2 + -2x2 = 1x2
-7 + 1x2 = -4 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
-7 + 1x2 = -4 + 0
-7 + 1x2 = -4
Add '7' to each side of the equation.
-7 + 7 + 1x2 = -4 + 7
Combine like terms: -7 + 7 = 0
0 + 1x2 = -4 + 7
1x2 = -4 + 7
Combine like terms: -4 + 7 = 3
1x2 = 3
Divide each side by '1'.
x2 = 3
Simplifying
x2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}
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