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Simplifying
4x2 + -5 = 76
Reorder the terms:
-5 + 4x2 = 76
Solving
-5 + 4x2 = 76
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 = 76 + 5
Combine like terms: -5 + 5 = 0
0 + 4x2 = 76 + 5
4x2 = 76 + 5
Combine like terms: 76 + 5 = 81
4x2 = 81
Divide each side by '4'.
x2 = 20.25
Simplifying
x2 = 20.25
Take the square root of each side:
x = {-4.5, 4.5}
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