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Simplifying
4x2 + -7 = 42
Reorder the terms:
-7 + 4x2 = 42
Solving
-7 + 4x2 = 42
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 4x2 = 42 + 7
Combine like terms: -7 + 7 = 0
0 + 4x2 = 42 + 7
4x2 = 42 + 7
Combine like terms: 42 + 7 = 49
4x2 = 49
Divide each side by '4'.
x2 = 12.25
Simplifying
x2 = 12.25
Take the square root of each side:
x = {-3.5, 3.5}
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