If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5y(y + 1) = 4(y + 2) + -6 Reorder the terms: 5y(1 + y) = 4(y + 2) + -6 (1 * 5y + y * 5y) = 4(y + 2) + -6 (5y + 5y2) = 4(y + 2) + -6 Reorder the terms: 5y + 5y2 = 4(2 + y) + -6 5y + 5y2 = (2 * 4 + y * 4) + -6 5y + 5y2 = (8 + 4y) + -6 Reorder the terms: 5y + 5y2 = 8 + -6 + 4y Combine like terms: 8 + -6 = 2 5y + 5y2 = 2 + 4y Solving 5y + 5y2 = 2 + 4y Solving for variable 'y'. Reorder the terms: -2 + 5y + -4y + 5y2 = 2 + 4y + -2 + -4y Combine like terms: 5y + -4y = 1y -2 + 1y + 5y2 = 2 + 4y + -2 + -4y Reorder the terms: -2 + 1y + 5y2 = 2 + -2 + 4y + -4y Combine like terms: 2 + -2 = 0 -2 + 1y + 5y2 = 0 + 4y + -4y -2 + 1y + 5y2 = 4y + -4y Combine like terms: 4y + -4y = 0 -2 + 1y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -0.4 + 0.2y + y2 = 0 Move the constant term to the right: Add '0.4' to each side of the equation. -0.4 + 0.2y + 0.4 + y2 = 0 + 0.4 Reorder the terms: -0.4 + 0.4 + 0.2y + y2 = 0 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.2y + y2 = 0 + 0.4 0.2y + y2 = 0 + 0.4 Combine like terms: 0 + 0.4 = 0.4 0.2y + y2 = 0.4 The y term is 0.2y. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2y + 0.01 + y2 = 0.4 + 0.01 Reorder the terms: 0.01 + 0.2y + y2 = 0.4 + 0.01 Combine like terms: 0.4 + 0.01 = 0.41 0.01 + 0.2y + y2 = 0.41 Factor a perfect square on the left side: (y + 0.1)(y + 0.1) = 0.41 Calculate the square root of the right side: 0.640312424 Break this problem into two subproblems by setting (y + 0.1) equal to 0.640312424 and -0.640312424.Subproblem 1
y + 0.1 = 0.640312424 Simplifying y + 0.1 = 0.640312424 Reorder the terms: 0.1 + y = 0.640312424 Solving 0.1 + y = 0.640312424 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + y = 0.640312424 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + y = 0.640312424 + -0.1 y = 0.640312424 + -0.1 Combine like terms: 0.640312424 + -0.1 = 0.540312424 y = 0.540312424 Simplifying y = 0.540312424Subproblem 2
y + 0.1 = -0.640312424 Simplifying y + 0.1 = -0.640312424 Reorder the terms: 0.1 + y = -0.640312424 Solving 0.1 + y = -0.640312424 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + y = -0.640312424 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + y = -0.640312424 + -0.1 y = -0.640312424 + -0.1 Combine like terms: -0.640312424 + -0.1 = -0.740312424 y = -0.740312424 Simplifying y = -0.740312424Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.540312424, -0.740312424}
| -3x-7.1-4.2x-4.6x+2= | | 8p+1=17 | | A=3+25-7(5) | | 16x-108=180 | | 1/2x+x=18 | | b^3+6b^2=0 | | 4x^4-20x=0 | | 5x^2-55x=140 | | 8x-39=8x-69 | | 20x^2-125=0 | | 6(a-6)=5(a+4) | | 2w+5x-y+8w-19x-7x= | | (x^2-74)/(x-8) | | 5/10*10/3 | | (9/(x-3))=(3x/(x-3)) | | -120+x^2-2x=0 | | 5/10/10/3 | | y-26=18 | | (5X-4)+3(X+2)=90 | | 6w+7y+11x+3x-15y+4w= | | -2000000+(-800000x)=-4200000 | | 27+x=x*4 | | 3w+6x-11y+7w+8x+3y= | | -2000000+(-800000x)=-3600000 | | X^2=2x+120 | | -26=c/13 | | 5/10x10/3 | | 11x-2y+12w-6y-2w+3x= | | 7w-12+6w-14=39 | | 4x^2+31x-8=0 | | 4+2x=3x-1 | | 5a+b/a+3a |