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Simplifying
6x2 + 3x + -19 = x2 + 3x + 1
Reorder the terms:
-19 + 3x + 6x2 = x2 + 3x + 1
Reorder the terms:
-19 + 3x + 6x2 = 1 + 3x + x2
Add '-3x' to each side of the equation.
-19 + 3x + -3x + 6x2 = 1 + 3x + -3x + x2
Combine like terms: 3x + -3x = 0
-19 + 0 + 6x2 = 1 + 3x + -3x + x2
-19 + 6x2 = 1 + 3x + -3x + x2
Combine like terms: 3x + -3x = 0
-19 + 6x2 = 1 + 0 + x2
-19 + 6x2 = 1 + x2
Solving
-19 + 6x2 = 1 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
-19 + 6x2 + -1x2 = 1 + x2 + -1x2
Combine like terms: 6x2 + -1x2 = 5x2
-19 + 5x2 = 1 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-19 + 5x2 = 1 + 0
-19 + 5x2 = 1
Add '19' to each side of the equation.
-19 + 19 + 5x2 = 1 + 19
Combine like terms: -19 + 19 = 0
0 + 5x2 = 1 + 19
5x2 = 1 + 19
Combine like terms: 1 + 19 = 20
5x2 = 20
Divide each side by '5'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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