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Simplifying
(3x2 + -7x + 2) + x2 + -3x + 1 = 2X2 + -10x + 3
Reorder the terms:
(2 + -7x + 3x2) + x2 + -3x + 1 = 2X2 + -10x + 3
Remove parenthesis around (2 + -7x + 3x2)
2 + -7x + 3x2 + x2 + -3x + 1 = 2X2 + -10x + 3
Reorder the terms:
2 + 1 + -7x + -3x + 3x2 + x2 = 2X2 + -10x + 3
Combine like terms: 2 + 1 = 3
3 + -7x + -3x + 3x2 + x2 = 2X2 + -10x + 3
Combine like terms: -7x + -3x = -10x
3 + -10x + 3x2 + x2 = 2X2 + -10x + 3
Combine like terms: 3x2 + x2 = 4x2
3 + -10x + 4x2 = 2X2 + -10x + 3
Reorder the terms:
3 + -10x + 4x2 = 3 + 2X2 + -10x
Add '-3' to each side of the equation.
3 + -10x + -3 + 4x2 = 3 + 2X2 + -3 + -10x
Reorder the terms:
3 + -3 + -10x + 4x2 = 3 + 2X2 + -3 + -10x
Combine like terms: 3 + -3 = 0
0 + -10x + 4x2 = 3 + 2X2 + -3 + -10x
-10x + 4x2 = 3 + 2X2 + -3 + -10x
Reorder the terms:
-10x + 4x2 = 3 + -3 + 2X2 + -10x
Combine like terms: 3 + -3 = 0
-10x + 4x2 = 0 + 2X2 + -10x
-10x + 4x2 = 2X2 + -10x
Add '10x' to each side of the equation.
-10x + 10x + 4x2 = 2X2 + -10x + 10x
Combine like terms: -10x + 10x = 0
0 + 4x2 = 2X2 + -10x + 10x
4x2 = 2X2 + -10x + 10x
Combine like terms: -10x + 10x = 0
4x2 = 2X2 + 0
4x2 = 2X2
Solving
4x2 = 2X2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '4'.
x2 = 0.5X2
Simplifying
x2 = 0.5X2
Take the square root of each side:
x = {-0.707106781X, 0.707106781X}
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