If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 13 + -100y2 + 10y = 69y2 + -10y + -15 Reorder the terms: 13 + 10y + -100y2 = 69y2 + -10y + -15 Reorder the terms: 13 + 10y + -100y2 = -15 + -10y + 69y2 Solving 13 + 10y + -100y2 = -15 + -10y + 69y2 Solving for variable 'y'. Reorder the terms: 13 + 15 + 10y + 10y + -100y2 + -69y2 = -15 + -10y + 69y2 + 15 + 10y + -69y2 Combine like terms: 13 + 15 = 28 28 + 10y + 10y + -100y2 + -69y2 = -15 + -10y + 69y2 + 15 + 10y + -69y2 Combine like terms: 10y + 10y = 20y 28 + 20y + -100y2 + -69y2 = -15 + -10y + 69y2 + 15 + 10y + -69y2 Combine like terms: -100y2 + -69y2 = -169y2 28 + 20y + -169y2 = -15 + -10y + 69y2 + 15 + 10y + -69y2 Reorder the terms: 28 + 20y + -169y2 = -15 + 15 + -10y + 10y + 69y2 + -69y2 Combine like terms: -15 + 15 = 0 28 + 20y + -169y2 = 0 + -10y + 10y + 69y2 + -69y2 28 + 20y + -169y2 = -10y + 10y + 69y2 + -69y2 Combine like terms: -10y + 10y = 0 28 + 20y + -169y2 = 0 + 69y2 + -69y2 28 + 20y + -169y2 = 69y2 + -69y2 Combine like terms: 69y2 + -69y2 = 0 28 + 20y + -169y2 = 0 Begin completing the square. Divide all terms by -169 the coefficient of the squared term: Divide each side by '-169'. -0.1656804734 + -0.1183431953y + y2 = 0 Move the constant term to the right: Add '0.1656804734' to each side of the equation. -0.1656804734 + -0.1183431953y + 0.1656804734 + y2 = 0 + 0.1656804734 Reorder the terms: -0.1656804734 + 0.1656804734 + -0.1183431953y + y2 = 0 + 0.1656804734 Combine like terms: -0.1656804734 + 0.1656804734 = 0.0000000000 0.0000000000 + -0.1183431953y + y2 = 0 + 0.1656804734 -0.1183431953y + y2 = 0 + 0.1656804734 Combine like terms: 0 + 0.1656804734 = 0.1656804734 -0.1183431953y + y2 = 0.1656804734 The y term is -0.1183431953y. Take half its coefficient (-0.05917159765). Square it (0.003501277968) and add it to both sides. Add '0.003501277968' to each side of the equation. -0.1183431953y + 0.003501277968 + y2 = 0.1656804734 + 0.003501277968 Reorder the terms: 0.003501277968 + -0.1183431953y + y2 = 0.1656804734 + 0.003501277968 Combine like terms: 0.1656804734 + 0.003501277968 = 0.169181751368 0.003501277968 + -0.1183431953y + y2 = 0.169181751368 Factor a perfect square on the left side: (y + -0.05917159765)(y + -0.05917159765) = 0.169181751368 Calculate the square root of the right side: 0.411317093 Break this problem into two subproblems by setting (y + -0.05917159765) equal to 0.411317093 and -0.411317093.Subproblem 1
y + -0.05917159765 = 0.411317093 Simplifying y + -0.05917159765 = 0.411317093 Reorder the terms: -0.05917159765 + y = 0.411317093 Solving -0.05917159765 + y = 0.411317093 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.05917159765' to each side of the equation. -0.05917159765 + 0.05917159765 + y = 0.411317093 + 0.05917159765 Combine like terms: -0.05917159765 + 0.05917159765 = 0.00000000000 0.00000000000 + y = 0.411317093 + 0.05917159765 y = 0.411317093 + 0.05917159765 Combine like terms: 0.411317093 + 0.05917159765 = 0.47048869065 y = 0.47048869065 Simplifying y = 0.47048869065Subproblem 2
y + -0.05917159765 = -0.411317093 Simplifying y + -0.05917159765 = -0.411317093 Reorder the terms: -0.05917159765 + y = -0.411317093 Solving -0.05917159765 + y = -0.411317093 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.05917159765' to each side of the equation. -0.05917159765 + 0.05917159765 + y = -0.411317093 + 0.05917159765 Combine like terms: -0.05917159765 + 0.05917159765 = 0.00000000000 0.00000000000 + y = -0.411317093 + 0.05917159765 y = -0.411317093 + 0.05917159765 Combine like terms: -0.411317093 + 0.05917159765 = -0.35214549535 y = -0.35214549535 Simplifying y = -0.35214549535Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.47048869065, -0.35214549535}
| 1.5x^2-x-0.5=0 | | (3x+1)(3x+1)= | | 4x^2-3x-12=0 | | 11e^2=e | | x-(0.6x)=144 | | x+x+x+2x+1=1 | | 7n-10=11 | | (x+5)+x=-1 | | (7x+8)(7x-8)=0 | | (7x)-(4x)=30 | | 12x^6+15x^5+6x^3= | | 3x^2=96 | | 3y-11=-1 | | 15x^2+34x-16=0 | | 25+4(2x+5)=-61 | | (9+k)5=0 | | 8-5i= | | -38+x=-11 | | x+(3x-17)=-61 | | 12t^2-15t-18= | | m+24=3 | | -42=-6w | | -(4j-10a)= | | 36x^2-49y^2= | | 12=-1x+1 | | -8+y=13 | | x+(x+1)+(x+2)=-255 | | 13*4=a | | Y-2x=14 | | -23-(-15)+17+(-35)=x | | Y=-3c+8 | | -23-(-15)+17+(-35)= |