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Simplifying
5x2 + -3x + -3 + x = 3x2 + -2x + 6
Reorder the terms:
-3 + -3x + x + 5x2 = 3x2 + -2x + 6
Combine like terms: -3x + x = -2x
-3 + -2x + 5x2 = 3x2 + -2x + 6
Reorder the terms:
-3 + -2x + 5x2 = 6 + -2x + 3x2
Add '2x' to each side of the equation.
-3 + -2x + 2x + 5x2 = 6 + -2x + 2x + 3x2
Combine like terms: -2x + 2x = 0
-3 + 0 + 5x2 = 6 + -2x + 2x + 3x2
-3 + 5x2 = 6 + -2x + 2x + 3x2
Combine like terms: -2x + 2x = 0
-3 + 5x2 = 6 + 0 + 3x2
-3 + 5x2 = 6 + 3x2
Solving
-3 + 5x2 = 6 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
-3 + 5x2 + -3x2 = 6 + 3x2 + -3x2
Combine like terms: 5x2 + -3x2 = 2x2
-3 + 2x2 = 6 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
-3 + 2x2 = 6 + 0
-3 + 2x2 = 6
Add '3' to each side of the equation.
-3 + 3 + 2x2 = 6 + 3
Combine like terms: -3 + 3 = 0
0 + 2x2 = 6 + 3
2x2 = 6 + 3
Combine like terms: 6 + 3 = 9
2x2 = 9
Divide each side by '2'.
x2 = 4.5
Simplifying
x2 = 4.5
Take the square root of each side:
x = {-2.121320344, 2.121320344}
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