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Simplifying
4x2 + -5 = 12
Reorder the terms:
-5 + 4x2 = 12
Solving
-5 + 4x2 = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 4x2 = 12 + 5
Combine like terms: -5 + 5 = 0
0 + 4x2 = 12 + 5
4x2 = 12 + 5
Combine like terms: 12 + 5 = 17
4x2 = 17
Divide each side by '4'.
x2 = 4.25
Simplifying
x2 = 4.25
Take the square root of each side:
x = {-2.061552813, 2.061552813}
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