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Simplifying
7x2 + 34 = -3x2 + 844
Reorder the terms:
34 + 7x2 = -3x2 + 844
Reorder the terms:
34 + 7x2 = 844 + -3x2
Solving
34 + 7x2 = 844 + -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.
34 + 7x2 + 3x2 = 844 + -3x2 + 3x2
Combine like terms: 7x2 + 3x2 = 10x2
34 + 10x2 = 844 + -3x2 + 3x2
Combine like terms: -3x2 + 3x2 = 0
34 + 10x2 = 844 + 0
34 + 10x2 = 844
Add '-34' to each side of the equation.
34 + -34 + 10x2 = 844 + -34
Combine like terms: 34 + -34 = 0
0 + 10x2 = 844 + -34
10x2 = 844 + -34
Combine like terms: 844 + -34 = 810
10x2 = 810
Divide each side by '10'.
x2 = 81
Simplifying
x2 = 81
Take the square root of each side:
x = {-9, 9}
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