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Simplifying
4x2 + -2 + -7 = 0
Reorder the terms:
-2 + -7 + 4x2 = 0
Combine like terms: -2 + -7 = -9
-9 + 4x2 = 0
Solving
-9 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 4x2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 4x2 = 0 + 9
4x2 = 0 + 9
Combine like terms: 0 + 9 = 9
4x2 = 9
Divide each side by '4'.
x2 = 2.25
Simplifying
x2 = 2.25
Take the square root of each side:
x = {-1.5, 1.5}
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