If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 4.9t2 + 24t + -13 Reorder the terms: 0 = -13 + 24t + 4.9t2 Solving 0 = -13 + 24t + 4.9t2 Solving for variable 't'. Combine like terms: 0 + 13 = 13 13 + -24t + -4.9t2 = -13 + 24t + 4.9t2 + 13 + -24t + -4.9t2 Reorder the terms: 13 + -24t + -4.9t2 = -13 + 13 + 24t + -24t + 4.9t2 + -4.9t2 Combine like terms: -13 + 13 = 0 13 + -24t + -4.9t2 = 0 + 24t + -24t + 4.9t2 + -4.9t2 13 + -24t + -4.9t2 = 24t + -24t + 4.9t2 + -4.9t2 Combine like terms: 24t + -24t = 0 13 + -24t + -4.9t2 = 0 + 4.9t2 + -4.9t2 13 + -24t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 13 + -24t + -4.9t2 = 0.0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. -2.653061224 + 4.897959184t + t2 = 0 Move the constant term to the right: Add '2.653061224' to each side of the equation. -2.653061224 + 4.897959184t + 2.653061224 + t2 = 0 + 2.653061224 Reorder the terms: -2.653061224 + 2.653061224 + 4.897959184t + t2 = 0 + 2.653061224 Combine like terms: -2.653061224 + 2.653061224 = 0.000000000 0.000000000 + 4.897959184t + t2 = 0 + 2.653061224 4.897959184t + t2 = 0 + 2.653061224 Combine like terms: 0 + 2.653061224 = 2.653061224 4.897959184t + t2 = 2.653061224 The t term is 4.897959184t. Take half its coefficient (2.448979592). Square it (5.997501042) and add it to both sides. Add '5.997501042' to each side of the equation. 4.897959184t + 5.997501042 + t2 = 2.653061224 + 5.997501042 Reorder the terms: 5.997501042 + 4.897959184t + t2 = 2.653061224 + 5.997501042 Combine like terms: 2.653061224 + 5.997501042 = 8.650562266 5.997501042 + 4.897959184t + t2 = 8.650562266 Factor a perfect square on the left side: (t + 2.448979592)(t + 2.448979592) = 8.650562266 Calculate the square root of the right side: 2.941183821 Break this problem into two subproblems by setting (t + 2.448979592) equal to 2.941183821 and -2.941183821.Subproblem 1
t + 2.448979592 = 2.941183821 Simplifying t + 2.448979592 = 2.941183821 Reorder the terms: 2.448979592 + t = 2.941183821 Solving 2.448979592 + t = 2.941183821 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.448979592' to each side of the equation. 2.448979592 + -2.448979592 + t = 2.941183821 + -2.448979592 Combine like terms: 2.448979592 + -2.448979592 = 0.000000000 0.000000000 + t = 2.941183821 + -2.448979592 t = 2.941183821 + -2.448979592 Combine like terms: 2.941183821 + -2.448979592 = 0.492204229 t = 0.492204229 Simplifying t = 0.492204229Subproblem 2
t + 2.448979592 = -2.941183821 Simplifying t + 2.448979592 = -2.941183821 Reorder the terms: 2.448979592 + t = -2.941183821 Solving 2.448979592 + t = -2.941183821 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.448979592' to each side of the equation. 2.448979592 + -2.448979592 + t = -2.941183821 + -2.448979592 Combine like terms: 2.448979592 + -2.448979592 = 0.000000000 0.000000000 + t = -2.941183821 + -2.448979592 t = -2.941183821 + -2.448979592 Combine like terms: -2.941183821 + -2.448979592 = -5.390163413 t = -5.390163413 Simplifying t = -5.390163413Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.492204229, -5.390163413}
| 12/3-(-1/3) | | (7+2x)*2=(x*3)+9 | | 23x+7-27x=4-9 | | 5x+-3x+6=-12 | | -9/8m-4=-6/5m+5/4 | | -5/8m=-4/5 | | 15x-5=7+11x | | -3(4p+4)-2(5-14p)-3(7+5p)=0 | | 5/13+4/13-2/13-6/13 | | 17x-7=1+15x | | 6/5x10/18 | | a=pw*p | | 3k-4=4 | | 8+(-6)-(-2)+4= | | 7-(a+2)+4a-8=a-1 | | 2x+3.2=9.2 | | -5-6x=-5 | | 5y-1+8y+12=180 | | 8x^3-6=7x^3-14 | | (x-(1/2))^2=-(17/2) | | 5/14+4/13-2/13-6/13 | | 0-24/6/2 | | 6-3w=2 | | -u+v=12 | | 5(n+5)=2n+4 | | 9+7q=11+6q | | 2[2+3(m-1)]=22 | | (17x^2-9x)-(6x^2-5x)= | | -1/12=x-2/9 | | -2/3x+5=-5/3 | | v-u=12 | | 10x^2-10x+5=0 |