If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 13y2 + -32y + -12 = 0 Reorder the terms: -12 + -32y + 13y2 = 0 Solving -12 + -32y + 13y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. -0.9230769231 + -2.461538462y + y2 = 0 Move the constant term to the right: Add '0.9230769231' to each side of the equation. -0.9230769231 + -2.461538462y + 0.9230769231 + y2 = 0 + 0.9230769231 Reorder the terms: -0.9230769231 + 0.9230769231 + -2.461538462y + y2 = 0 + 0.9230769231 Combine like terms: -0.9230769231 + 0.9230769231 = 0.0000000000 0.0000000000 + -2.461538462y + y2 = 0 + 0.9230769231 -2.461538462y + y2 = 0 + 0.9230769231 Combine like terms: 0 + 0.9230769231 = 0.9230769231 -2.461538462y + y2 = 0.9230769231 The y term is -2.461538462y. Take half its coefficient (-1.230769231). Square it (1.514792900) and add it to both sides. Add '1.514792900' to each side of the equation. -2.461538462y + 1.514792900 + y2 = 0.9230769231 + 1.514792900 Reorder the terms: 1.514792900 + -2.461538462y + y2 = 0.9230769231 + 1.514792900 Combine like terms: 0.9230769231 + 1.514792900 = 2.4378698231 1.514792900 + -2.461538462y + y2 = 2.4378698231 Factor a perfect square on the left side: (y + -1.230769231)(y + -1.230769231) = 2.4378698231 Calculate the square root of the right side: 1.561367933 Break this problem into two subproblems by setting (y + -1.230769231) equal to 1.561367933 and -1.561367933.Subproblem 1
y + -1.230769231 = 1.561367933 Simplifying y + -1.230769231 = 1.561367933 Reorder the terms: -1.230769231 + y = 1.561367933 Solving -1.230769231 + y = 1.561367933 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.230769231' to each side of the equation. -1.230769231 + 1.230769231 + y = 1.561367933 + 1.230769231 Combine like terms: -1.230769231 + 1.230769231 = 0.000000000 0.000000000 + y = 1.561367933 + 1.230769231 y = 1.561367933 + 1.230769231 Combine like terms: 1.561367933 + 1.230769231 = 2.792137164 y = 2.792137164 Simplifying y = 2.792137164Subproblem 2
y + -1.230769231 = -1.561367933 Simplifying y + -1.230769231 = -1.561367933 Reorder the terms: -1.230769231 + y = -1.561367933 Solving -1.230769231 + y = -1.561367933 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.230769231' to each side of the equation. -1.230769231 + 1.230769231 + y = -1.561367933 + 1.230769231 Combine like terms: -1.230769231 + 1.230769231 = 0.000000000 0.000000000 + y = -1.561367933 + 1.230769231 y = -1.561367933 + 1.230769231 Combine like terms: -1.561367933 + 1.230769231 = -0.330598702 y = -0.330598702 Simplifying y = -0.330598702Solution
The solution to the problem is based on the solutions from the subproblems. y = {2.792137164, -0.330598702}
| m-7m+7m+1= | | 0.005x-0.1= | | 3(3n-3)=(2n+1)+5 | | -3x=2+(1/3) | | 3t+4(1-4t)= | | 7(3x-8)+7=21x-49 | | 4z^2+7z= | | 3x-6=3(2-x) | | -4(t-5)+6t=4t-1 | | x-1=3x+1 | | 3w^2-24w+16=0 | | 27/32.2-3= | | 4-x=5x-2 | | [4w-1]+-5=10 | | -2/3=171/6 | | 11k-(2k+4)=3(-k+8) | | -2/3x=-71/6 | | 5(2x-1)=9 | | 0.02(y-2)+0.20y=0.10y-0.01(70) | | 6*1/9 | | (4+3i)/(-3-1i) | | -3x+2=-y | | 27/32.2-3 | | 3z+1/6=4z+7/6 | | 20h(7+7.50)=-6.75 | | 25t^2-16t+9=2 | | x-31=-20 | | -2x-3x-11=-5+7x-8 | | z^2=18 | | 1.4x^2=24.6 | | 2r-6+5R=3-7 | | -5x+6-4x+4=-x+10+7x |