If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7y2 + -20y + 3 = 0 Reorder the terms: 3 + -20y + 7y2 = 0 Solving 3 + -20y + 7y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.4285714286 + -2.857142857y + y2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + -2.857142857y + -0.4285714286 + y2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + -2.857142857y + y2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + -2.857142857y + y2 = 0 + -0.4285714286 -2.857142857y + y2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 -2.857142857y + y2 = -0.4285714286 The y term is -2.857142857y. Take half its coefficient (-1.428571429). Square it (2.040816328) and add it to both sides. Add '2.040816328' to each side of the equation. -2.857142857y + 2.040816328 + y2 = -0.4285714286 + 2.040816328 Reorder the terms: 2.040816328 + -2.857142857y + y2 = -0.4285714286 + 2.040816328 Combine like terms: -0.4285714286 + 2.040816328 = 1.6122448994 2.040816328 + -2.857142857y + y2 = 1.6122448994 Factor a perfect square on the left side: (y + -1.428571429)(y + -1.428571429) = 1.6122448994 Calculate the square root of the right side: 1.26974206 Break this problem into two subproblems by setting (y + -1.428571429) equal to 1.26974206 and -1.26974206.Subproblem 1
y + -1.428571429 = 1.26974206 Simplifying y + -1.428571429 = 1.26974206 Reorder the terms: -1.428571429 + y = 1.26974206 Solving -1.428571429 + y = 1.26974206 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.428571429' to each side of the equation. -1.428571429 + 1.428571429 + y = 1.26974206 + 1.428571429 Combine like terms: -1.428571429 + 1.428571429 = 0.000000000 0.000000000 + y = 1.26974206 + 1.428571429 y = 1.26974206 + 1.428571429 Combine like terms: 1.26974206 + 1.428571429 = 2.698313489 y = 2.698313489 Simplifying y = 2.698313489Subproblem 2
y + -1.428571429 = -1.26974206 Simplifying y + -1.428571429 = -1.26974206 Reorder the terms: -1.428571429 + y = -1.26974206 Solving -1.428571429 + y = -1.26974206 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.428571429' to each side of the equation. -1.428571429 + 1.428571429 + y = -1.26974206 + 1.428571429 Combine like terms: -1.428571429 + 1.428571429 = 0.000000000 0.000000000 + y = -1.26974206 + 1.428571429 y = -1.26974206 + 1.428571429 Combine like terms: -1.26974206 + 1.428571429 = 0.158829369 y = 0.158829369 Simplifying y = 0.158829369Solution
The solution to the problem is based on the solutions from the subproblems. y = {2.698313489, 0.158829369}
| (-1.5)x+3=2(2x-3) | | 6(4x-8)=2(12x+7) | | (x-3)(x+3)=27 | | 24x-3=14x | | x*2-20=29 | | 5x*2=35 | | -2g+14=0 | | 9*1p=27 | | 4.2a=21 | | 5+17z-4=9z+106-7z | | x^2-6x+9=20 | | 3x-6=x+8 | | 3x+48-4x=0 | | 2-y=14 | | 8s+10s=36 | | Q+(-7)=-10 | | 5(2x+5)=-3(3x+2)+x | | y=1.5(x-6) | | 3r+1=10 | | ln(3x+13)-ln(x)=ln(4) | | x-6x=15x | | 6t=-54 | | 6.5g=-2.4 | | ln(3x+13)-lnx=ln^4 | | 2.1q-1.6-3.7q=-2.6-2.2 | | (-7x-4)-9=-6(x+9) | | (3m-1)(8m+7)=0 | | ln(7x+15)-ln(x)=ln(8) | | (8p-2)(6p+2)=0 | | w=0 | | (-5b^2+3b-4)+(2b^2-3b+6)= | | 5x-(6y)=22 |