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Simplifying
3x2 + -4x + 6 = 2x2 + -4x + 15
Reorder the terms:
6 + -4x + 3x2 = 2x2 + -4x + 15
Reorder the terms:
6 + -4x + 3x2 = 15 + -4x + 2x2
Add '4x' to each side of the equation.
6 + -4x + 4x + 3x2 = 15 + -4x + 4x + 2x2
Combine like terms: -4x + 4x = 0
6 + 0 + 3x2 = 15 + -4x + 4x + 2x2
6 + 3x2 = 15 + -4x + 4x + 2x2
Combine like terms: -4x + 4x = 0
6 + 3x2 = 15 + 0 + 2x2
6 + 3x2 = 15 + 2x2
Solving
6 + 3x2 = 15 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
6 + 3x2 + -2x2 = 15 + 2x2 + -2x2
Combine like terms: 3x2 + -2x2 = 1x2
6 + 1x2 = 15 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
6 + 1x2 = 15 + 0
6 + 1x2 = 15
Add '-6' to each side of the equation.
6 + -6 + 1x2 = 15 + -6
Combine like terms: 6 + -6 = 0
0 + 1x2 = 15 + -6
1x2 = 15 + -6
Combine like terms: 15 + -6 = 9
1x2 = 9
Divide each side by '1'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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