If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 22(6t + 1.8)(6t + 1.8) + -56(6t + 1.8) + 2 = 10147 Reorder the terms: 22(1.8 + 6t)(6t + 1.8) + -56(6t + 1.8) + 2 = 10147 Reorder the terms: 22(1.8 + 6t)(1.8 + 6t) + -56(6t + 1.8) + 2 = 10147 Multiply (1.8 + 6t) * (1.8 + 6t) 22(1.8(1.8 + 6t) + 6t * (1.8 + 6t)) + -56(6t + 1.8) + 2 = 10147 22((1.8 * 1.8 + 6t * 1.8) + 6t * (1.8 + 6t)) + -56(6t + 1.8) + 2 = 10147 22((3.24 + 10.8t) + 6t * (1.8 + 6t)) + -56(6t + 1.8) + 2 = 10147 22(3.24 + 10.8t + (1.8 * 6t + 6t * 6t)) + -56(6t + 1.8) + 2 = 10147 22(3.24 + 10.8t + (10.8t + 36t2)) + -56(6t + 1.8) + 2 = 10147 Combine like terms: 10.8t + 10.8t = 21.6t 22(3.24 + 21.6t + 36t2) + -56(6t + 1.8) + 2 = 10147 (3.24 * 22 + 21.6t * 22 + 36t2 * 22) + -56(6t + 1.8) + 2 = 10147 (71.28 + 475.2t + 792t2) + -56(6t + 1.8) + 2 = 10147 Reorder the terms: 71.28 + 475.2t + 792t2 + -56(1.8 + 6t) + 2 = 10147 71.28 + 475.2t + 792t2 + (1.8 * -56 + 6t * -56) + 2 = 10147 71.28 + 475.2t + 792t2 + (-100.8 + -336t) + 2 = 10147 Reorder the terms: 71.28 + -100.8 + 2 + 475.2t + -336t + 792t2 = 10147 Combine like terms: 71.28 + -100.8 = -29.52 -29.52 + 2 + 475.2t + -336t + 792t2 = 10147 Combine like terms: -29.52 + 2 = -27.52 -27.52 + 475.2t + -336t + 792t2 = 10147 Combine like terms: 475.2t + -336t = 139.2t -27.52 + 139.2t + 792t2 = 10147 Solving -27.52 + 139.2t + 792t2 = 10147 Solving for variable 't'. Reorder the terms: -27.52 + -10147 + 139.2t + 792t2 = 10147 + -10147 Combine like terms: -27.52 + -10147 = -10174.52 -10174.52 + 139.2t + 792t2 = 10147 + -10147 Combine like terms: 10147 + -10147 = 0 -10174.52 + 139.2t + 792t2 = 0 Begin completing the square. Divide all terms by 792 the coefficient of the squared term: Divide each side by '792'. -12.84661616 + 0.1757575758t + t2 = 0 Move the constant term to the right: Add '12.84661616' to each side of the equation. -12.84661616 + 0.1757575758t + 12.84661616 + t2 = 0 + 12.84661616 Reorder the terms: -12.84661616 + 12.84661616 + 0.1757575758t + t2 = 0 + 12.84661616 Combine like terms: -12.84661616 + 12.84661616 = 0.00000000 0.00000000 + 0.1757575758t + t2 = 0 + 12.84661616 0.1757575758t + t2 = 0 + 12.84661616 Combine like terms: 0 + 12.84661616 = 12.84661616 0.1757575758t + t2 = 12.84661616 The t term is 0.1757575758t. Take half its coefficient (0.0878787879). Square it (0.007722681363) and add it to both sides. Add '0.007722681363' to each side of the equation. 0.1757575758t + 0.007722681363 + t2 = 12.84661616 + 0.007722681363 Reorder the terms: 0.007722681363 + 0.1757575758t + t2 = 12.84661616 + 0.007722681363 Combine like terms: 12.84661616 + 0.007722681363 = 12.854338841363 0.007722681363 + 0.1757575758t + t2 = 12.854338841363 Factor a perfect square on the left side: (t + 0.0878787879)(t + 0.0878787879) = 12.854338841363 Calculate the square root of the right side: 3.585294805 Break this problem into two subproblems by setting (t + 0.0878787879) equal to 3.585294805 and -3.585294805.Subproblem 1
t + 0.0878787879 = 3.585294805 Simplifying t + 0.0878787879 = 3.585294805 Reorder the terms: 0.0878787879 + t = 3.585294805 Solving 0.0878787879 + t = 3.585294805 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.0878787879' to each side of the equation. 0.0878787879 + -0.0878787879 + t = 3.585294805 + -0.0878787879 Combine like terms: 0.0878787879 + -0.0878787879 = 0.0000000000 0.0000000000 + t = 3.585294805 + -0.0878787879 t = 3.585294805 + -0.0878787879 Combine like terms: 3.585294805 + -0.0878787879 = 3.4974160171 t = 3.4974160171 Simplifying t = 3.4974160171Subproblem 2
t + 0.0878787879 = -3.585294805 Simplifying t + 0.0878787879 = -3.585294805 Reorder the terms: 0.0878787879 + t = -3.585294805 Solving 0.0878787879 + t = -3.585294805 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.0878787879' to each side of the equation. 0.0878787879 + -0.0878787879 + t = -3.585294805 + -0.0878787879 Combine like terms: 0.0878787879 + -0.0878787879 = 0.0000000000 0.0000000000 + t = -3.585294805 + -0.0878787879 t = -3.585294805 + -0.0878787879 Combine like terms: -3.585294805 + -0.0878787879 = -3.6731735929 t = -3.6731735929 Simplifying t = -3.6731735929Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.4974160171, -3.6731735929}
| 5-3(x+3)=-2(5x+2) | | 2y-32= | | 24+1.7a=5 | | 8(-6x-18)=384 | | 4(10-5j)=5(4+8) | | a(a+3)=a+63 | | 1/3y-7=1/2y | | 22(6t+1.8)(6t+1.8)-56(6t+1.8)+2= | | 0=-16t^2+29t-7 | | 4-x=x/4 | | 10(-8x+15)=-330 | | x+.8333333333=.4444444444 | | 2x/5=6/13 | | 5x+33+5x+2=14x+3 | | 11t=7(4t+17) | | 7x+10+3x=90 | | -3w^2+w-8=0 | | 6+2z-2=5z+5-2z | | w-3w^2-8=0 | | 6x-5+12=-6x+3 | | 9(x^2)-48x+64=0 | | -5(5n-4)=35 | | z^2-6z+9=-25 | | 2(-8+3k)=-4(-2k+2) | | (20x)/4 | | 14/1-4-(2)4 | | h=7+29t-16t^2 | | 0.6(x+90)+0.8x=103 | | (a+10)(a-1)= | | 2-(x-3)-3+(4x-5)=17-8x | | (13y/14)-4=5-(7y/2) | | 14/1-4-24 |