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Simplifying
7x2 + -14 = 2x2 + 56
Reorder the terms:
-14 + 7x2 = 2x2 + 56
Reorder the terms:
-14 + 7x2 = 56 + 2x2
Solving
-14 + 7x2 = 56 + 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.
-14 + 7x2 + -2x2 = 56 + 2x2 + -2x2
Combine like terms: 7x2 + -2x2 = 5x2
-14 + 5x2 = 56 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
-14 + 5x2 = 56 + 0
-14 + 5x2 = 56
Add '14' to each side of the equation.
-14 + 14 + 5x2 = 56 + 14
Combine like terms: -14 + 14 = 0
0 + 5x2 = 56 + 14
5x2 = 56 + 14
Combine like terms: 56 + 14 = 70
5x2 = 70
Divide each side by '5'.
x2 = 14
Simplifying
x2 = 14
Take the square root of each side:
x = {-3.741657387, 3.741657387}
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