If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -3y2 + -54y = 57 Reorder the terms: -54y + -3y2 = 57 Solving -54y + -3y2 = 57 Solving for variable 'y'. Reorder the terms: -57 + -54y + -3y2 = 57 + -57 Combine like terms: 57 + -57 = 0 -57 + -54y + -3y2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(19 + 18y + y2) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(19 + 18y + y2)' equal to zero and attempt to solve: Simplifying 19 + 18y + y2 = 0 Solving 19 + 18y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 18y + -19 + y2 = 0 + -19 Reorder the terms: 19 + -19 + 18y + y2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 18y + y2 = 0 + -19 18y + y2 = 0 + -19 Combine like terms: 0 + -19 = -19 18y + y2 = -19 The y term is 18y. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18y + 81 + y2 = -19 + 81 Reorder the terms: 81 + 18y + y2 = -19 + 81 Combine like terms: -19 + 81 = 62 81 + 18y + y2 = 62 Factor a perfect square on the left side: (y + 9)(y + 9) = 62 Calculate the square root of the right side: 7.874007874 Break this problem into two subproblems by setting (y + 9) equal to 7.874007874 and -7.874007874.Subproblem 1
y + 9 = 7.874007874 Simplifying y + 9 = 7.874007874 Reorder the terms: 9 + y = 7.874007874 Solving 9 + y = 7.874007874 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y = 7.874007874 + -9 Combine like terms: 9 + -9 = 0 0 + y = 7.874007874 + -9 y = 7.874007874 + -9 Combine like terms: 7.874007874 + -9 = -1.125992126 y = -1.125992126 Simplifying y = -1.125992126Subproblem 2
y + 9 = -7.874007874 Simplifying y + 9 = -7.874007874 Reorder the terms: 9 + y = -7.874007874 Solving 9 + y = -7.874007874 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y = -7.874007874 + -9 Combine like terms: 9 + -9 = 0 0 + y = -7.874007874 + -9 y = -7.874007874 + -9 Combine like terms: -7.874007874 + -9 = -16.874007874 y = -16.874007874 Simplifying y = -16.874007874Solution
The solution to the problem is based on the solutions from the subproblems. y = {-1.125992126, -16.874007874}Solution
y = {-1.125992126, -16.874007874}
| a-7+(-4-2b)= | | X+5=-6x-1u | | (7x+2)(3x-6)= | | 0.003x=0.004x | | 3=-2(x+7)-7x | | -34=1.2z^2-7 | | n-4*5=30 | | 3p^2-27p+33=0 | | 10+4x=25 | | 9x-23=25-3x | | 10+4x=24 | | 4n-2(3n)=-13 | | s^2-7s=48 | | 10+4x=23 | | 0.3(0.85-3x)=-0.5x | | q^2-8q-7=0 | | -5x+15=2x-7 | | 5x^4-15x^2+4=0 | | r^2+26r+29=0 | | 9+4x=22 | | -15+3x=6 | | 45x-9=23 | | X^2-(4+2i+i^2)=0 | | 3d^2+36d-123=0 | | 1+26=-7 | | x+7=2(5x-3) | | 4m^2+72m-124=0 | | 2n=3n+7 | | 4(2x-1)-2(x-5)=5(x+1)+3 | | h^2+2h-7=0 | | 22.17=4g+3.85 | | 3g^2+30g=87 |