If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3y + -2)(y + -4) + -1(3y + 1)(4y + -1) = 0 Reorder the terms: (-2 + 3y)(y + -4) + -1(3y + 1)(4y + -1) = 0 Reorder the terms: (-2 + 3y)(-4 + y) + -1(3y + 1)(4y + -1) = 0 Multiply (-2 + 3y) * (-4 + y) (-2(-4 + y) + 3y * (-4 + y)) + -1(3y + 1)(4y + -1) = 0 ((-4 * -2 + y * -2) + 3y * (-4 + y)) + -1(3y + 1)(4y + -1) = 0 ((8 + -2y) + 3y * (-4 + y)) + -1(3y + 1)(4y + -1) = 0 (8 + -2y + (-4 * 3y + y * 3y)) + -1(3y + 1)(4y + -1) = 0 (8 + -2y + (-12y + 3y2)) + -1(3y + 1)(4y + -1) = 0 Combine like terms: -2y + -12y = -14y (8 + -14y + 3y2) + -1(3y + 1)(4y + -1) = 0 Reorder the terms: 8 + -14y + 3y2 + -1(1 + 3y)(4y + -1) = 0 Reorder the terms: 8 + -14y + 3y2 + -1(1 + 3y)(-1 + 4y) = 0 Multiply (1 + 3y) * (-1 + 4y) 8 + -14y + 3y2 + -1(1(-1 + 4y) + 3y * (-1 + 4y)) = 0 8 + -14y + 3y2 + -1((-1 * 1 + 4y * 1) + 3y * (-1 + 4y)) = 0 8 + -14y + 3y2 + -1((-1 + 4y) + 3y * (-1 + 4y)) = 0 8 + -14y + 3y2 + -1(-1 + 4y + (-1 * 3y + 4y * 3y)) = 0 8 + -14y + 3y2 + -1(-1 + 4y + (-3y + 12y2)) = 0 Combine like terms: 4y + -3y = 1y 8 + -14y + 3y2 + -1(-1 + 1y + 12y2) = 0 8 + -14y + 3y2 + (-1 * -1 + 1y * -1 + 12y2 * -1) = 0 8 + -14y + 3y2 + (1 + -1y + -12y2) = 0 Reorder the terms: 8 + 1 + -14y + -1y + 3y2 + -12y2 = 0 Combine like terms: 8 + 1 = 9 9 + -14y + -1y + 3y2 + -12y2 = 0 Combine like terms: -14y + -1y = -15y 9 + -15y + 3y2 + -12y2 = 0 Combine like terms: 3y2 + -12y2 = -9y2 9 + -15y + -9y2 = 0 Solving 9 + -15y + -9y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(3 + -5y + -3y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -5y + -3y2)' equal to zero and attempt to solve: Simplifying 3 + -5y + -3y2 = 0 Solving 3 + -5y + -3y2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. -1 + 1.666666667y + y2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + 1.666666667y + 1 + y2 = 0 + 1 Reorder the terms: -1 + 1 + 1.666666667y + y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1.666666667y + y2 = 0 + 1 1.666666667y + y2 = 0 + 1 Combine like terms: 0 + 1 = 1 1.666666667y + y2 = 1 The y term is 1.666666667y. Take half its coefficient (0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. 1.666666667y + 0.6944444447 + y2 = 1 + 0.6944444447 Reorder the terms: 0.6944444447 + 1.666666667y + y2 = 1 + 0.6944444447 Combine like terms: 1 + 0.6944444447 = 1.6944444447 0.6944444447 + 1.666666667y + y2 = 1.6944444447 Factor a perfect square on the left side: (y + 0.8333333335)(y + 0.8333333335) = 1.6944444447 Calculate the square root of the right side: 1.301708279 Break this problem into two subproblems by setting (y + 0.8333333335) equal to 1.301708279 and -1.301708279.Subproblem 1
y + 0.8333333335 = 1.301708279 Simplifying y + 0.8333333335 = 1.301708279 Reorder the terms: 0.8333333335 + y = 1.301708279 Solving 0.8333333335 + y = 1.301708279 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8333333335' to each side of the equation. 0.8333333335 + -0.8333333335 + y = 1.301708279 + -0.8333333335 Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000 0.0000000000 + y = 1.301708279 + -0.8333333335 y = 1.301708279 + -0.8333333335 Combine like terms: 1.301708279 + -0.8333333335 = 0.4683749455 y = 0.4683749455 Simplifying y = 0.4683749455Subproblem 2
y + 0.8333333335 = -1.301708279 Simplifying y + 0.8333333335 = -1.301708279 Reorder the terms: 0.8333333335 + y = -1.301708279 Solving 0.8333333335 + y = -1.301708279 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8333333335' to each side of the equation. 0.8333333335 + -0.8333333335 + y = -1.301708279 + -0.8333333335 Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000 0.0000000000 + y = -1.301708279 + -0.8333333335 y = -1.301708279 + -0.8333333335 Combine like terms: -1.301708279 + -0.8333333335 = -2.1350416125 y = -2.1350416125 Simplifying y = -2.1350416125Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.4683749455, -2.1350416125}Solution
y = {0.4683749455, -2.1350416125}
| x+11+2x+6=70 | | 16n-c-5=4n+8 | | 3(n+5)+14n=117 | | -11/4b-24/7b=-173/14 | | 4(7.2+-0.4)-2y=18 | | 28+y=50 | | 231=7v+25(15-v) | | 1-5/40=n/d | | 87=47+z | | 0.3x=0.2-0.2x | | 6-m*6-8=0 | | 2a=9b+1 | | 4(b+2)=28 | | 7x-5=x^2+2x+1 | | 1.75x=4 | | -4(9a-b)=3(5a+2b) | | -13+6x=15+5x | | 5y+56=2x-84 | | 8x^4-8x^2+1=0.5 | | 5y-56=2x+84 | | (5n-2)(2n-7)=0 | | 5n+2n=3-10n | | B+(2I)=18.45 | | 2y=4x+b | | 5y+56=2x+84 | | 2x+6+80=180 | | 8a^3-2a^2=0 | | -7x-114=-2x+36 | | 2y^3-4=8 | | y=150-3/2x | | 5(4y-1)=5y | | 8a-5=2a-29 |