If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -4.9t2 + 100t = 410 Reorder the terms: 100t + -4.9t2 = 410 Solving 100t + -4.9t2 = 410 Solving for variable 't'. Reorder the terms: -410 + 100t + -4.9t2 = 410 + -410 Combine like terms: 410 + -410 = 0 -410 + 100t + -4.9t2 = 0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 83.67346939 + -20.40816327t + t2 = 0 Move the constant term to the right: Add '-83.67346939' to each side of the equation. 83.67346939 + -20.40816327t + -83.67346939 + t2 = 0 + -83.67346939 Reorder the terms: 83.67346939 + -83.67346939 + -20.40816327t + t2 = 0 + -83.67346939 Combine like terms: 83.67346939 + -83.67346939 = 0.00000000 0.00000000 + -20.40816327t + t2 = 0 + -83.67346939 -20.40816327t + t2 = 0 + -83.67346939 Combine like terms: 0 + -83.67346939 = -83.67346939 -20.40816327t + t2 = -83.67346939 The t term is -20.40816327t. Take half its coefficient (-10.20408164). Square it (104.1232821) and add it to both sides. Add '104.1232821' to each side of the equation. -20.40816327t + 104.1232821 + t2 = -83.67346939 + 104.1232821 Reorder the terms: 104.1232821 + -20.40816327t + t2 = -83.67346939 + 104.1232821 Combine like terms: -83.67346939 + 104.1232821 = 20.44981271 104.1232821 + -20.40816327t + t2 = 20.44981271 Factor a perfect square on the left side: (t + -10.20408164)(t + -10.20408164) = 20.44981271 Calculate the square root of the right side: 4.522146914 Break this problem into two subproblems by setting (t + -10.20408164) equal to 4.522146914 and -4.522146914.Subproblem 1
t + -10.20408164 = 4.522146914 Simplifying t + -10.20408164 = 4.522146914 Reorder the terms: -10.20408164 + t = 4.522146914 Solving -10.20408164 + t = 4.522146914 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10.20408164' to each side of the equation. -10.20408164 + 10.20408164 + t = 4.522146914 + 10.20408164 Combine like terms: -10.20408164 + 10.20408164 = 0.00000000 0.00000000 + t = 4.522146914 + 10.20408164 t = 4.522146914 + 10.20408164 Combine like terms: 4.522146914 + 10.20408164 = 14.726228554 t = 14.726228554 Simplifying t = 14.726228554Subproblem 2
t + -10.20408164 = -4.522146914 Simplifying t + -10.20408164 = -4.522146914 Reorder the terms: -10.20408164 + t = -4.522146914 Solving -10.20408164 + t = -4.522146914 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10.20408164' to each side of the equation. -10.20408164 + 10.20408164 + t = -4.522146914 + 10.20408164 Combine like terms: -10.20408164 + 10.20408164 = 0.00000000 0.00000000 + t = -4.522146914 + 10.20408164 t = -4.522146914 + 10.20408164 Combine like terms: -4.522146914 + 10.20408164 = 5.681934726 t = 5.681934726 Simplifying t = 5.681934726Solution
The solution to the problem is based on the solutions from the subproblems. t = {14.726228554, 5.681934726}
| 27Z^2=75 | | 6-4z=-2-6z-6 | | 20-19y-6y^2=0 | | 37-8x=17+12x | | X=y-24 | | -7f+6=-8-3f-6f | | 3(-6m+8)=10 | | -6(2x-8)+9=-12x+57 | | 28+43x-45x^2=0 | | X(8-2x)(10-2x)-40=0 | | 8s=10s-6 | | 25x+19(5x-150)=1950 | | 72=1(2-9a) | | -3x+13=7+3x | | y=50x+9 | | -3h-5=9-10h | | -5+25x+40x+10=-4x-8x | | 6.8z-2.7=24.5 | | -2(5y-6)+3(y+9)=-38 | | y=21x+21 | | f(-4)=-4(-4)-3/2 | | 7j+1=-5+8j | | 3(6+7x)-5(4x+9)= | | 7x-9=-4x-15 | | y=250x^4-54x | | 10(3+5)=4s | | -3-8m=-m-3 | | 70=1.1x | | 35=-5(4-x) | | 3m+4=-28 | | 12r^2+5rs-3s^2=0 | | 2(5-3b)+9b=28 |