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Simplifying
4x2 + -10x2 + 7 = -17
Reorder the terms:
7 + 4x2 + -10x2 = -17
Combine like terms: 4x2 + -10x2 = -6x2
7 + -6x2 = -17
Solving
7 + -6x2 = -17
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 + -6x2 = -17 + -7
Combine like terms: 7 + -7 = 0
0 + -6x2 = -17 + -7
-6x2 = -17 + -7
Combine like terms: -17 + -7 = -24
-6x2 = -24
Divide each side by '-6'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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