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Simplifying
4x2 + -7 = 407
Reorder the terms:
-7 + 4x2 = 407
Solving
-7 + 4x2 = 407
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 = 407 + 7
Combine like terms: -7 + 7 = 0
0 + 4x2 = 407 + 7
4x2 = 407 + 7
Combine like terms: 407 + 7 = 414
4x2 = 414
Divide each side by '4'.
x2 = 103.5
Simplifying
x2 = 103.5
Take the square root of each side:
x = {-10.173494975, 10.173494975}
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