If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2y + -1)(y + -4) + -1(3y + 2)(3y + -1) = 0 Reorder the terms: (-1 + 2y)(y + -4) + -1(3y + 2)(3y + -1) = 0 Reorder the terms: (-1 + 2y)(-4 + y) + -1(3y + 2)(3y + -1) = 0 Multiply (-1 + 2y) * (-4 + y) (-1(-4 + y) + 2y * (-4 + y)) + -1(3y + 2)(3y + -1) = 0 ((-4 * -1 + y * -1) + 2y * (-4 + y)) + -1(3y + 2)(3y + -1) = 0 ((4 + -1y) + 2y * (-4 + y)) + -1(3y + 2)(3y + -1) = 0 (4 + -1y + (-4 * 2y + y * 2y)) + -1(3y + 2)(3y + -1) = 0 (4 + -1y + (-8y + 2y2)) + -1(3y + 2)(3y + -1) = 0 Combine like terms: -1y + -8y = -9y (4 + -9y + 2y2) + -1(3y + 2)(3y + -1) = 0 Reorder the terms: 4 + -9y + 2y2 + -1(2 + 3y)(3y + -1) = 0 Reorder the terms: 4 + -9y + 2y2 + -1(2 + 3y)(-1 + 3y) = 0 Multiply (2 + 3y) * (-1 + 3y) 4 + -9y + 2y2 + -1(2(-1 + 3y) + 3y * (-1 + 3y)) = 0 4 + -9y + 2y2 + -1((-1 * 2 + 3y * 2) + 3y * (-1 + 3y)) = 0 4 + -9y + 2y2 + -1((-2 + 6y) + 3y * (-1 + 3y)) = 0 4 + -9y + 2y2 + -1(-2 + 6y + (-1 * 3y + 3y * 3y)) = 0 4 + -9y + 2y2 + -1(-2 + 6y + (-3y + 9y2)) = 0 Combine like terms: 6y + -3y = 3y 4 + -9y + 2y2 + -1(-2 + 3y + 9y2) = 0 4 + -9y + 2y2 + (-2 * -1 + 3y * -1 + 9y2 * -1) = 0 4 + -9y + 2y2 + (2 + -3y + -9y2) = 0 Reorder the terms: 4 + 2 + -9y + -3y + 2y2 + -9y2 = 0 Combine like terms: 4 + 2 = 6 6 + -9y + -3y + 2y2 + -9y2 = 0 Combine like terms: -9y + -3y = -12y 6 + -12y + 2y2 + -9y2 = 0 Combine like terms: 2y2 + -9y2 = -7y2 6 + -12y + -7y2 = 0 Solving 6 + -12y + -7y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. -0.8571428571 + 1.714285714y + y2 = 0 Move the constant term to the right: Add '0.8571428571' to each side of the equation. -0.8571428571 + 1.714285714y + 0.8571428571 + y2 = 0 + 0.8571428571 Reorder the terms: -0.8571428571 + 0.8571428571 + 1.714285714y + y2 = 0 + 0.8571428571 Combine like terms: -0.8571428571 + 0.8571428571 = 0.0000000000 0.0000000000 + 1.714285714y + y2 = 0 + 0.8571428571 1.714285714y + y2 = 0 + 0.8571428571 Combine like terms: 0 + 0.8571428571 = 0.8571428571 1.714285714y + y2 = 0.8571428571 The y term is 1.714285714y. Take half its coefficient (0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. 1.714285714y + 0.7346938773 + y2 = 0.8571428571 + 0.7346938773 Reorder the terms: 0.7346938773 + 1.714285714y + y2 = 0.8571428571 + 0.7346938773 Combine like terms: 0.8571428571 + 0.7346938773 = 1.5918367344 0.7346938773 + 1.714285714y + y2 = 1.5918367344 Factor a perfect square on the left side: (y + 0.857142857)(y + 0.857142857) = 1.5918367344 Calculate the square root of the right side: 1.261680124 Break this problem into two subproblems by setting (y + 0.857142857) equal to 1.261680124 and -1.261680124.Subproblem 1
y + 0.857142857 = 1.261680124 Simplifying y + 0.857142857 = 1.261680124 Reorder the terms: 0.857142857 + y = 1.261680124 Solving 0.857142857 + y = 1.261680124 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.857142857' to each side of the equation. 0.857142857 + -0.857142857 + y = 1.261680124 + -0.857142857 Combine like terms: 0.857142857 + -0.857142857 = 0.000000000 0.000000000 + y = 1.261680124 + -0.857142857 y = 1.261680124 + -0.857142857 Combine like terms: 1.261680124 + -0.857142857 = 0.404537267 y = 0.404537267 Simplifying y = 0.404537267Subproblem 2
y + 0.857142857 = -1.261680124 Simplifying y + 0.857142857 = -1.261680124 Reorder the terms: 0.857142857 + y = -1.261680124 Solving 0.857142857 + y = -1.261680124 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.857142857' to each side of the equation. 0.857142857 + -0.857142857 + y = -1.261680124 + -0.857142857 Combine like terms: 0.857142857 + -0.857142857 = 0.000000000 0.000000000 + y = -1.261680124 + -0.857142857 y = -1.261680124 + -0.857142857 Combine like terms: -1.261680124 + -0.857142857 = -2.118822981 y = -2.118822981 Simplifying y = -2.118822981Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.404537267, -2.118822981}
| -8(.875)+60=25+32(.875) | | 28000*3000=36000+2000 | | -6(1+x)+x=-24-2x | | -8y+60=25+32y | | 5y^2-22y-48=0 | | 4+4n=-8(5n+5) | | 2(x+6)-4(x+2)=-14 | | Y=4f(3) | | 2m^2+3m-6=0 | | 48+15y= | | (3x^2)-(8x)=0 | | -32+2x=2(4x-1) | | 6-7=17 | | -6-7y=17 | | P=2(90)+2(126) | | A=(59)(42) | | 3x=1+5x | | u+-1=2 | | (3x-1)+6=0 | | R^2-6tw+2wr-3t=0r | | 40+.6m=80+.5m | | 20-7=6x-6 | | 2a+b+6c=1.5 | | (Fx)=6x^2-7x-2 | | -12=-4c | | -3=m+13 | | 25w^3-1w=0 | | 0=5(y-0.4)(y+2.1) | | 2v^2-24v-42=0 | | k-4= -4 | | -3b=18 | | -p=30 |