If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -5t2 + 20t + 5 = 3t + 3 Reorder the terms: 5 + 20t + -5t2 = 3t + 3 Reorder the terms: 5 + 20t + -5t2 = 3 + 3t Solving 5 + 20t + -5t2 = 3 + 3t Solving for variable 't'. Reorder the terms: 5 + -3 + 20t + -3t + -5t2 = 3 + 3t + -3 + -3t Combine like terms: 5 + -3 = 2 2 + 20t + -3t + -5t2 = 3 + 3t + -3 + -3t Combine like terms: 20t + -3t = 17t 2 + 17t + -5t2 = 3 + 3t + -3 + -3t Reorder the terms: 2 + 17t + -5t2 = 3 + -3 + 3t + -3t Combine like terms: 3 + -3 = 0 2 + 17t + -5t2 = 0 + 3t + -3t 2 + 17t + -5t2 = 3t + -3t Combine like terms: 3t + -3t = 0 2 + 17t + -5t2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. -0.4 + -3.4t + t2 = 0 Move the constant term to the right: Add '0.4' to each side of the equation. -0.4 + -3.4t + 0.4 + t2 = 0 + 0.4 Reorder the terms: -0.4 + 0.4 + -3.4t + t2 = 0 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -3.4t + t2 = 0 + 0.4 -3.4t + t2 = 0 + 0.4 Combine like terms: 0 + 0.4 = 0.4 -3.4t + t2 = 0.4 The t term is -3.4t. Take half its coefficient (-1.7). Square it (2.89) and add it to both sides. Add '2.89' to each side of the equation. -3.4t + 2.89 + t2 = 0.4 + 2.89 Reorder the terms: 2.89 + -3.4t + t2 = 0.4 + 2.89 Combine like terms: 0.4 + 2.89 = 3.29 2.89 + -3.4t + t2 = 3.29 Factor a perfect square on the left side: (t + -1.7)(t + -1.7) = 3.29 Calculate the square root of the right side: 1.813835715 Break this problem into two subproblems by setting (t + -1.7) equal to 1.813835715 and -1.813835715.Subproblem 1
t + -1.7 = 1.813835715 Simplifying t + -1.7 = 1.813835715 Reorder the terms: -1.7 + t = 1.813835715 Solving -1.7 + t = 1.813835715 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.7' to each side of the equation. -1.7 + 1.7 + t = 1.813835715 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + t = 1.813835715 + 1.7 t = 1.813835715 + 1.7 Combine like terms: 1.813835715 + 1.7 = 3.513835715 t = 3.513835715 Simplifying t = 3.513835715Subproblem 2
t + -1.7 = -1.813835715 Simplifying t + -1.7 = -1.813835715 Reorder the terms: -1.7 + t = -1.813835715 Solving -1.7 + t = -1.813835715 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.7' to each side of the equation. -1.7 + 1.7 + t = -1.813835715 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + t = -1.813835715 + 1.7 t = -1.813835715 + 1.7 Combine like terms: -1.813835715 + 1.7 = -0.113835715 t = -0.113835715 Simplifying t = -0.113835715Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.513835715, -0.113835715}
| x^2+1600x=2320 | | x+12.6=100-y | | 4+3x+7x=74 | | 2w^2-2w-144=0 | | 3x-2(10x-8)=51 | | (33+4x)=(6x-6) | | (m+1)(3m+8)=0 | | 5+7x-2x=20 | | .16(10000)-.07y=.03(y+1000) | | x*x+1600x-2320=0 | | 2kx^2-4kx+5k=3x^2+x-8 | | x^2-3x+3k=0 | | 15x-18=69 | | 49=6x+3x+4 | | (x^2+400x+10000000)=0 | | 7x+4y=169 | | 1475=825+3.25n | | 1+2(3-5)= | | 8x^2+3x-5= | | -9w+15w+20=-1 | | f(x)=3x^2+3x-6 | | 1x+5=-5+2x | | (6x-7)(x-6)=0 | | 2x^2-39x+99=0 | | x=100-12.5-y | | 2x+1+2x=41 | | (-9xy^3-9x^4y^3)-(3xy^3+7y^4-8x^4y^4)+(3x^4y^3+2xy^3)=0 | | 1-5x+4x=-6 | | graphy=50+5x | | (4x+6)(5x-7)= | | 7x^2-10x=6x^2 | | 3d=10-13d |