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Simplifying
3x2 + -4x + 5 = 2x2 + -4x + 41
Reorder the terms:
5 + -4x + 3x2 = 2x2 + -4x + 41
Reorder the terms:
5 + -4x + 3x2 = 41 + -4x + 2x2
Add '4x' to each side of the equation.
5 + -4x + 4x + 3x2 = 41 + -4x + 4x + 2x2
Combine like terms: -4x + 4x = 0
5 + 0 + 3x2 = 41 + -4x + 4x + 2x2
5 + 3x2 = 41 + -4x + 4x + 2x2
Combine like terms: -4x + 4x = 0
5 + 3x2 = 41 + 0 + 2x2
5 + 3x2 = 41 + 2x2
Solving
5 + 3x2 = 41 + 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.
5 + 3x2 + -2x2 = 41 + 2x2 + -2x2
Combine like terms: 3x2 + -2x2 = 1x2
5 + 1x2 = 41 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
5 + 1x2 = 41 + 0
5 + 1x2 = 41
Add '-5' to each side of the equation.
5 + -5 + 1x2 = 41 + -5
Combine like terms: 5 + -5 = 0
0 + 1x2 = 41 + -5
1x2 = 41 + -5
Combine like terms: 41 + -5 = 36
1x2 = 36
Divide each side by '1'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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