If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -4y2 + 6y + 14 = 0 Reorder the terms: 14 + 6y + -4y2 = 0 Solving 14 + 6y + -4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 3y + -2y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + 3y + -2y2)' equal to zero and attempt to solve: Simplifying 7 + 3y + -2y2 = 0 Solving 7 + 3y + -2y2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -3.5 + -1.5y + y2 = 0 Move the constant term to the right: Add '3.5' to each side of the equation. -3.5 + -1.5y + 3.5 + y2 = 0 + 3.5 Reorder the terms: -3.5 + 3.5 + -1.5y + y2 = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -1.5y + y2 = 0 + 3.5 -1.5y + y2 = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 -1.5y + y2 = 3.5 The y term is -1.5y. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5y + 0.5625 + y2 = 3.5 + 0.5625 Reorder the terms: 0.5625 + -1.5y + y2 = 3.5 + 0.5625 Combine like terms: 3.5 + 0.5625 = 4.0625 0.5625 + -1.5y + y2 = 4.0625 Factor a perfect square on the left side: (y + -0.75)(y + -0.75) = 4.0625 Calculate the square root of the right side: 2.015564437 Break this problem into two subproblems by setting (y + -0.75) equal to 2.015564437 and -2.015564437.Subproblem 1
y + -0.75 = 2.015564437 Simplifying y + -0.75 = 2.015564437 Reorder the terms: -0.75 + y = 2.015564437 Solving -0.75 + y = 2.015564437 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + y = 2.015564437 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + y = 2.015564437 + 0.75 y = 2.015564437 + 0.75 Combine like terms: 2.015564437 + 0.75 = 2.765564437 y = 2.765564437 Simplifying y = 2.765564437Subproblem 2
y + -0.75 = -2.015564437 Simplifying y + -0.75 = -2.015564437 Reorder the terms: -0.75 + y = -2.015564437 Solving -0.75 + y = -2.015564437 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + y = -2.015564437 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + y = -2.015564437 + 0.75 y = -2.015564437 + 0.75 Combine like terms: -2.015564437 + 0.75 = -1.265564437 y = -1.265564437 Simplifying y = -1.265564437Solution
The solution to the problem is based on the solutions from the subproblems. y = {2.765564437, -1.265564437}Solution
y = {2.765564437, -1.265564437}
| (1/4x^(3/2))/(1/2x^(-1/2)) | | y=-7E+08x^3+2E+09x^2-2E+09x+8E+08 | | (1/4x^(3/2))/(1/2x^(1/2)) | | 2n+4=29 | | 2n+2=-126 | | 37-t/4 | | 5x-x+10-2= | | 0=4x-10 | | X+(x*0.02)=35190 | | 8(6-7)+24x= | | (6x-8)-(4x-5)= | | C-d=4 | | 10x^7+-26x^6-12x^5=0 | | 4x+24=9 | | 4x-24=9 | | 5x-24=8 | | 221/256 | | 7p-10p+3= | | 9c-3c= | | 1-2(cosx^2)-cosx=0 | | x+12=2x-6 | | -2=4x-1/x-1 | | 3n+3=-171 | | t-1.5(t+8)=10 | | 12=x+0.55(x-4) | | 5y^2+6=13y | | 0=2x^2-12x+32 | | 7a+6c= | | 7.3/3.3 | | mx^2-2x-2m+1=0 | | bk+m=jsolveb | | 278= |