If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -6 = -7y + y(y + -6) Reorder the terms: -6 = -7y + y(-6 + y) -6 = -7y + (-6 * y + y * y) -6 = -7y + (-6y + y2) Combine like terms: -7y + -6y = -13y -6 = -13y + y2 Solving -6 = -13y + y2 Solving for variable 'y'. Reorder the terms: -6 + 13y + -1y2 = -13y + 13y + y2 + -1y2 Combine like terms: -13y + 13y = 0 -6 + 13y + -1y2 = 0 + y2 + -1y2 -6 + 13y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -6 + 13y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 6 + -13y + y2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -13y + -6 + y2 = 0 + -6 Reorder the terms: 6 + -6 + -13y + y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -13y + y2 = 0 + -6 -13y + y2 = 0 + -6 Combine like terms: 0 + -6 = -6 -13y + y2 = -6 The y term is -13y. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13y + 42.25 + y2 = -6 + 42.25 Reorder the terms: 42.25 + -13y + y2 = -6 + 42.25 Combine like terms: -6 + 42.25 = 36.25 42.25 + -13y + y2 = 36.25 Factor a perfect square on the left side: (y + -6.5)(y + -6.5) = 36.25 Calculate the square root of the right side: 6.020797289 Break this problem into two subproblems by setting (y + -6.5) equal to 6.020797289 and -6.020797289.Subproblem 1
y + -6.5 = 6.020797289 Simplifying y + -6.5 = 6.020797289 Reorder the terms: -6.5 + y = 6.020797289 Solving -6.5 + y = 6.020797289 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + y = 6.020797289 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + y = 6.020797289 + 6.5 y = 6.020797289 + 6.5 Combine like terms: 6.020797289 + 6.5 = 12.520797289 y = 12.520797289 Simplifying y = 12.520797289Subproblem 2
y + -6.5 = -6.020797289 Simplifying y + -6.5 = -6.020797289 Reorder the terms: -6.5 + y = -6.020797289 Solving -6.5 + y = -6.020797289 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + y = -6.020797289 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + y = -6.020797289 + 6.5 y = -6.020797289 + 6.5 Combine like terms: -6.020797289 + 6.5 = 0.479202711 y = 0.479202711 Simplifying y = 0.479202711Solution
The solution to the problem is based on the solutions from the subproblems. y = {12.520797289, 0.479202711}
| 6t-10=2y-6 | | 1/10a=0 | | 7m+11+2m-5=33 | | Y=7y-7y^2 | | 4z-29=2x-3 | | Y=-3x^2-4x^2 | | f(0.5)=2x+2 | | f(0.5)=4 | | Y=x^3+5x^3 | | f(3)=-2(9)-4 | | f(3)=-2x-4 | | 108x^2=21 | | 3x-2x[x-4(2x-3)]=7x(2x-5)-1 | | xy-4x=-10 | | xy-4x=-104 | | 1/4(2x-13)/124/5 | | x+0.4x=180 | | 20x+30x= | | -7+12-2x=23+13x | | 64r^3-64r^2=-9 | | y=x^2-14x-51 | | .5(x+6)=18 | | 3(2x-1)=5(3x-6) | | 2x+4+x=265 | | 3(8)-4y=12 | | 4x/(9-x) | | (5x+4)(6x)=144 | | log[3](x-3)=3 | | 2y-21=90+21 | | 4x/(9-x)^0.5 | | 2-6y+3=3y+11-6y | | 4*4+4y+27y+7+65=180 |