If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (7y2 + -7y + -7) + -1(4y2 + 2y + 3) = 0 Reorder the terms: (-7 + -7y + 7y2) + -1(4y2 + 2y + 3) = 0 Remove parenthesis around (-7 + -7y + 7y2) -7 + -7y + 7y2 + -1(4y2 + 2y + 3) = 0 Reorder the terms: -7 + -7y + 7y2 + -1(3 + 2y + 4y2) = 0 -7 + -7y + 7y2 + (3 * -1 + 2y * -1 + 4y2 * -1) = 0 -7 + -7y + 7y2 + (-3 + -2y + -4y2) = 0 Reorder the terms: -7 + -3 + -7y + -2y + 7y2 + -4y2 = 0 Combine like terms: -7 + -3 = -10 -10 + -7y + -2y + 7y2 + -4y2 = 0 Combine like terms: -7y + -2y = -9y -10 + -9y + 7y2 + -4y2 = 0 Combine like terms: 7y2 + -4y2 = 3y2 -10 + -9y + 3y2 = 0 Solving -10 + -9y + 3y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -3.333333333 + -3y + y2 = 0 Move the constant term to the right: Add '3.333333333' to each side of the equation. -3.333333333 + -3y + 3.333333333 + y2 = 0 + 3.333333333 Reorder the terms: -3.333333333 + 3.333333333 + -3y + y2 = 0 + 3.333333333 Combine like terms: -3.333333333 + 3.333333333 = 0.000000000 0.000000000 + -3y + y2 = 0 + 3.333333333 -3y + y2 = 0 + 3.333333333 Combine like terms: 0 + 3.333333333 = 3.333333333 -3y + y2 = 3.333333333 The y term is -3y. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3y + 2.25 + y2 = 3.333333333 + 2.25 Reorder the terms: 2.25 + -3y + y2 = 3.333333333 + 2.25 Combine like terms: 3.333333333 + 2.25 = 5.583333333 2.25 + -3y + y2 = 5.583333333 Factor a perfect square on the left side: (y + -1.5)(y + -1.5) = 5.583333333 Calculate the square root of the right side: 2.362907813 Break this problem into two subproblems by setting (y + -1.5) equal to 2.362907813 and -2.362907813.Subproblem 1
y + -1.5 = 2.362907813 Simplifying y + -1.5 = 2.362907813 Reorder the terms: -1.5 + y = 2.362907813 Solving -1.5 + y = 2.362907813 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + y = 2.362907813 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + y = 2.362907813 + 1.5 y = 2.362907813 + 1.5 Combine like terms: 2.362907813 + 1.5 = 3.862907813 y = 3.862907813 Simplifying y = 3.862907813Subproblem 2
y + -1.5 = -2.362907813 Simplifying y + -1.5 = -2.362907813 Reorder the terms: -1.5 + y = -2.362907813 Solving -1.5 + y = -2.362907813 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + y = -2.362907813 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + y = -2.362907813 + 1.5 y = -2.362907813 + 1.5 Combine like terms: -2.362907813 + 1.5 = -0.862907813 y = -0.862907813 Simplifying y = -0.862907813Solution
The solution to the problem is based on the solutions from the subproblems. y = {3.862907813, -0.862907813}
| 12+x-15=y+((x+12)-(x-15)) | | M+2m+3m=12 | | 2(t+1)= | | -17b-0.97=-14.88-19.8b-14.65 | | (w*98)=115(x) | | 7w+3d=-12 | | 5y-4y+2=-5 | | 10n+12-9-7n+4n=16+15 | | 11g+3-5g=39 | | 5(4c-1)-5=18c+8 | | 5y+4a=13 | | 20+14z=11z-20-8 | | -185=-32+17r | | 4s+1k=3r | | 13n=69 | | 11x+24=-2 | | 8z+7=-5z-57 | | 8-n=-4+2(4-n) | | 5.25q-2(3q+1.25)=q+1 | | 4s+k=3r | | 9.2s=12.8s-3.96 | | 3y^2=72 | | -20p=-15.58-11.8p | | (9x-5)-(6x-8)= | | 2m+2n+2m+4n+8= | | 7x-5(5x+4)=142 | | 28M+16=4(4M-23) | | 7y^2-49y=0 | | -3=4x+6minusx | | 2n+8+2n+20= | | -n+25+6n+15=-12 | | 7x+5(5+4)=142 |