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 + 20t + 10 Reorder the terms: 0 = 10 + 20t + 4.9t2 Solving 0 = 10 + 20t + 4.9t2 Solving for variable 't'. Combine like terms: 0 + -10 = -10 -10 + -20t + -4.9t2 = 10 + 20t + 4.9t2 + -10 + -20t + -4.9t2 Reorder the terms: -10 + -20t + -4.9t2 = 10 + -10 + 20t + -20t + 4.9t2 + -4.9t2 Combine like terms: 10 + -10 = 0 -10 + -20t + -4.9t2 = 0 + 20t + -20t + 4.9t2 + -4.9t2 -10 + -20t + -4.9t2 = 20t + -20t + 4.9t2 + -4.9t2 Combine like terms: 20t + -20t = 0 -10 + -20t + -4.9t2 = 0 + 4.9t2 + -4.9t2 -10 + -20t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 -10 + -20t + -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'. 2.040816327 + 4.081632653t + t2 = 0 Move the constant term to the right: Add '-2.040816327' to each side of the equation. 2.040816327 + 4.081632653t + -2.040816327 + t2 = 0 + -2.040816327 Reorder the terms: 2.040816327 + -2.040816327 + 4.081632653t + t2 = 0 + -2.040816327 Combine like terms: 2.040816327 + -2.040816327 = 0.000000000 0.000000000 + 4.081632653t + t2 = 0 + -2.040816327 4.081632653t + t2 = 0 + -2.040816327 Combine like terms: 0 + -2.040816327 = -2.040816327 4.081632653t + t2 = -2.040816327 The t term is 4.081632653t. Take half its coefficient (2.040816327). Square it (4.164931281) and add it to both sides. Add '4.164931281' to each side of the equation. 4.081632653t + 4.164931281 + t2 = -2.040816327 + 4.164931281 Reorder the terms: 4.164931281 + 4.081632653t + t2 = -2.040816327 + 4.164931281 Combine like terms: -2.040816327 + 4.164931281 = 2.124114954 4.164931281 + 4.081632653t + t2 = 2.124114954 Factor a perfect square on the left side: (t + 2.040816327)(t + 2.040816327) = 2.124114954 Calculate the square root of the right side: 1.457434374 Break this problem into two subproblems by setting (t + 2.040816327) equal to 1.457434374 and -1.457434374.Subproblem 1
t + 2.040816327 = 1.457434374 Simplifying t + 2.040816327 = 1.457434374 Reorder the terms: 2.040816327 + t = 1.457434374 Solving 2.040816327 + t = 1.457434374 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.040816327' to each side of the equation. 2.040816327 + -2.040816327 + t = 1.457434374 + -2.040816327 Combine like terms: 2.040816327 + -2.040816327 = 0.000000000 0.000000000 + t = 1.457434374 + -2.040816327 t = 1.457434374 + -2.040816327 Combine like terms: 1.457434374 + -2.040816327 = -0.583381953 t = -0.583381953 Simplifying t = -0.583381953Subproblem 2
t + 2.040816327 = -1.457434374 Simplifying t + 2.040816327 = -1.457434374 Reorder the terms: 2.040816327 + t = -1.457434374 Solving 2.040816327 + t = -1.457434374 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.040816327' to each side of the equation. 2.040816327 + -2.040816327 + t = -1.457434374 + -2.040816327 Combine like terms: 2.040816327 + -2.040816327 = 0.000000000 0.000000000 + t = -1.457434374 + -2.040816327 t = -1.457434374 + -2.040816327 Combine like terms: -1.457434374 + -2.040816327 = -3.498250701 t = -3.498250701 Simplifying t = -3.498250701Solution
The solution to the problem is based on the solutions from the subproblems. t = {-0.583381953, -3.498250701}
| y+9=6/7x-54/7 | | 9x+7=8x-15 | | 8-3(x+2)/5x-14 | | 0.9x+19.3=5.3-2.6x | | F=9/5(-35)+32 | | y+3=8/9x-16/9 | | 3y+x=6forx | | 0.75(0.25-x+x^2)=x^2 | | 8/9-3 | | 8/9x-3 | | x^4-3x^3-18=0 | | 2x+3y=15000 | | 4x+5/11 | | 6x-14/9=-4x+18 | | X-14x=-34 | | x+3*0=6 | | 4x*4-37x*2+75=0 | | 3v-8=-50 | | 3cosx=5sinx | | 3(2x-3)+12=4X+1 | | 16=(2x)^2/(1-x)^2 | | 5-9y=2-8y | | 11x-2-5x=4+22 | | f(x)=4x-x^2-3 | | y=4*0-5 | | 4=2x/1-x | | 2x^2+6x+30= | | b=8/64 | | 5/6*3/4 | | .5x+38=8 | | x^2+16x+2=4x+22 | | 6x-9=8x-21 |