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Simplifying
5x2 + -7 = 4x2 + 5
Reorder the terms:
-7 + 5x2 = 4x2 + 5
Reorder the terms:
-7 + 5x2 = 5 + 4x2
Solving
-7 + 5x2 = 5 + 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 + 5x2 + -4x2 = 5 + 4x2 + -4x2
Combine like terms: 5x2 + -4x2 = 1x2
-7 + 1x2 = 5 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-7 + 1x2 = 5 + 0
-7 + 1x2 = 5
Add '7' to each side of the equation.
-7 + 7 + 1x2 = 5 + 7
Combine like terms: -7 + 7 = 0
0 + 1x2 = 5 + 7
1x2 = 5 + 7
Combine like terms: 5 + 7 = 12
1x2 = 12
Divide each side by '1'.
x2 = 12
Simplifying
x2 = 12
Take the square root of each side:
x = {-3.464101615, 3.464101615}
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