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Simplifying
4x2 + 7 = 45
Reorder the terms:
7 + 4x2 = 45
Solving
7 + 4x2 = 45
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 = 45 + -7
Combine like terms: 7 + -7 = 0
0 + 4x2 = 45 + -7
4x2 = 45 + -7
Combine like terms: 45 + -7 = 38
4x2 = 38
Divide each side by '4'.
x2 = 9.5
Simplifying
x2 = 9.5
Take the square root of each side:
x = {-3.082207001, 3.082207001}
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