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Simplifying
7x2 + -1 + -2x = 7 + -2x
Reorder the terms:
-1 + -2x + 7x2 = 7 + -2x
Add '2x' to each side of the equation.
-1 + -2x + 2x + 7x2 = 7 + -2x + 2x
Combine like terms: -2x + 2x = 0
-1 + 0 + 7x2 = 7 + -2x + 2x
-1 + 7x2 = 7 + -2x + 2x
Combine like terms: -2x + 2x = 0
-1 + 7x2 = 7 + 0
-1 + 7x2 = 7
Solving
-1 + 7x2 = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 7x2 = 7 + 1
Combine like terms: -1 + 1 = 0
0 + 7x2 = 7 + 1
7x2 = 7 + 1
Combine like terms: 7 + 1 = 8
7x2 = 8
Divide each side by '7'.
x2 = 1.142857143
Simplifying
x2 = 1.142857143
Take the square root of each side:
x = {-1.069044968, 1.069044968}
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