If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x = x2 + -20x + 41 Reorder the terms: x = 41 + -20x + x2 Solving x = 41 + -20x + x2 Solving for variable 'x'. Reorder the terms: -41 + x + 20x + -1x2 = 41 + -20x + x2 + -41 + 20x + -1x2 Combine like terms: x + 20x = 21x -41 + 21x + -1x2 = 41 + -20x + x2 + -41 + 20x + -1x2 Reorder the terms: -41 + 21x + -1x2 = 41 + -41 + -20x + 20x + x2 + -1x2 Combine like terms: 41 + -41 = 0 -41 + 21x + -1x2 = 0 + -20x + 20x + x2 + -1x2 -41 + 21x + -1x2 = -20x + 20x + x2 + -1x2 Combine like terms: -20x + 20x = 0 -41 + 21x + -1x2 = 0 + x2 + -1x2 -41 + 21x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -41 + 21x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 41 + -21x + x2 = 0 Move the constant term to the right: Add '-41' to each side of the equation. 41 + -21x + -41 + x2 = 0 + -41 Reorder the terms: 41 + -41 + -21x + x2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -21x + x2 = 0 + -41 -21x + x2 = 0 + -41 Combine like terms: 0 + -41 = -41 -21x + x2 = -41 The x term is -21x. Take half its coefficient (-10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. -21x + 110.25 + x2 = -41 + 110.25 Reorder the terms: 110.25 + -21x + x2 = -41 + 110.25 Combine like terms: -41 + 110.25 = 69.25 110.25 + -21x + x2 = 69.25 Factor a perfect square on the left side: (x + -10.5)(x + -10.5) = 69.25 Calculate the square root of the right side: 8.321658489 Break this problem into two subproblems by setting (x + -10.5) equal to 8.321658489 and -8.321658489.Subproblem 1
x + -10.5 = 8.321658489 Simplifying x + -10.5 = 8.321658489 Reorder the terms: -10.5 + x = 8.321658489 Solving -10.5 + x = 8.321658489 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.5' to each side of the equation. -10.5 + 10.5 + x = 8.321658489 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + x = 8.321658489 + 10.5 x = 8.321658489 + 10.5 Combine like terms: 8.321658489 + 10.5 = 18.821658489 x = 18.821658489 Simplifying x = 18.821658489Subproblem 2
x + -10.5 = -8.321658489 Simplifying x + -10.5 = -8.321658489 Reorder the terms: -10.5 + x = -8.321658489 Solving -10.5 + x = -8.321658489 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.5' to each side of the equation. -10.5 + 10.5 + x = -8.321658489 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + x = -8.321658489 + 10.5 x = -8.321658489 + 10.5 Combine like terms: -8.321658489 + 10.5 = 2.178341511 x = 2.178341511 Simplifying x = 2.178341511Solution
The solution to the problem is based on the solutions from the subproblems. x = {18.821658489, 2.178341511}
| w/4-1.1=-7.5 | | -9x-2x^2+7= | | f(x)=x^2-20x+41 | | X+(x+20)+(x+50)=200 | | 64y^2=35 | | 5x-2/-4=-7 | | -14=2y-6 | | 2x+8=3(x-1) | | 5/6)^x=0,5 | | 9/4(10/3x-4)-1/4(2x-8) | | (5/6)x=0,5 | | 173-y=218 | | 4(a+8)=0.5(4a-8) | | -1x^2-15-54=0 | | 5u+13=53 | | 2(-9)+3y=-23 | | (3x)=(2x+3y) | | 6-2x=-4x+16 | | 5/6*x=0,5 | | -20-6x=160 | | 2(-5)-3y=-11 | | -6/5-4/9*-6/5 | | -6/5-4/9*-6/5= | | -6/5-4/9*-6/5=-7/9 | | m/-6=-8 | | (a)/(4)-(2)/(3)=(5a)/(12) | | 0=x^2+19x-8 | | -120-80t+16t^2=0 | | 52+7x=3-11x | | 3x+4=2(5x-6)+2 | | 4x-20/3x-3 | | 0=x^2+19-8 |