If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -5y2 + -8y = 2 Reorder the terms: -8y + -5y2 = 2 Solving -8y + -5y2 = 2 Solving for variable 'y'. Reorder the terms: -2 + -8y + -5y2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -8y + -5y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 8y + 5y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + 8y + 5y2)' equal to zero and attempt to solve: Simplifying 2 + 8y + 5y2 = 0 Solving 2 + 8y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + 1.6y + y2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 1.6y + -0.4 + y2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 1.6y + y2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 1.6y + y2 = 0 + -0.4 1.6y + y2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 1.6y + y2 = -0.4 The y term is 1.6y. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6y + 0.64 + y2 = -0.4 + 0.64 Reorder the terms: 0.64 + 1.6y + y2 = -0.4 + 0.64 Combine like terms: -0.4 + 0.64 = 0.24 0.64 + 1.6y + y2 = 0.24 Factor a perfect square on the left side: (y + 0.8)(y + 0.8) = 0.24 Calculate the square root of the right side: 0.489897949 Break this problem into two subproblems by setting (y + 0.8) equal to 0.489897949 and -0.489897949.Subproblem 1
y + 0.8 = 0.489897949 Simplifying y + 0.8 = 0.489897949 Reorder the terms: 0.8 + y = 0.489897949 Solving 0.8 + y = 0.489897949 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + y = 0.489897949 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + y = 0.489897949 + -0.8 y = 0.489897949 + -0.8 Combine like terms: 0.489897949 + -0.8 = -0.310102051 y = -0.310102051 Simplifying y = -0.310102051Subproblem 2
y + 0.8 = -0.489897949 Simplifying y + 0.8 = -0.489897949 Reorder the terms: 0.8 + y = -0.489897949 Solving 0.8 + y = -0.489897949 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + y = -0.489897949 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + y = -0.489897949 + -0.8 y = -0.489897949 + -0.8 Combine like terms: -0.489897949 + -0.8 = -1.289897949 y = -1.289897949 Simplifying y = -1.289897949Solution
The solution to the problem is based on the solutions from the subproblems. y = {-0.310102051, -1.289897949}Solution
y = {-0.310102051, -1.289897949}
| 5(y-7)-3=-3(-7y+8)-4y | | 3x^2-(7x)+2=0 | | 4x+55+10x+-85= | | (4x+55)+(10x-85)= | | 45x+2=272 | | 4w^2-28w+48=0 | | 10x-25y=75 | | 3.5(2x+1)-0.5(1-3x)=14 | | 2t^2+t-6=0 | | 9(x-3)=-9 | | 8(a+6)=72.8 | | 31.5=7c-7 | | 40x+2=202 | | 4x+2=202 | | 6e-9=11.4 | | -12n=35+-5n | | 4p=26.8 | | x+02y=5 | | -12=35+-5n | | (4x+55)=(10x+-85) | | (4x+55)=(10x-85) | | x+x+2,5=22 | | 9(a+1)=54 | | 3=3c-9 | | 8e-6=66 | | 7p=28 | | 114x^2-25y^2+864x-100y-2404=0 | | 8u^5+36u^4+36u^3=0 | | 6(x+6)=5x+43 | | x=-10+-0.75y | | 12x^2+24x^3-18x=0 | | 2100=3.25x+7500 |