If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying t = -4.9t2 + 30.5t + 9.3 Reorder the terms: t = 9.3 + 30.5t + -4.9t2 Solving t = 9.3 + 30.5t + -4.9t2 Solving for variable 't'. Reorder the terms: -9.3 + t + -30.5t + 4.9t2 = 9.3 + 30.5t + -4.9t2 + -9.3 + -30.5t + 4.9t2 Combine like terms: t + -30.5t = -29.5t -9.3 + -29.5t + 4.9t2 = 9.3 + 30.5t + -4.9t2 + -9.3 + -30.5t + 4.9t2 Reorder the terms: -9.3 + -29.5t + 4.9t2 = 9.3 + -9.3 + 30.5t + -30.5t + -4.9t2 + 4.9t2 Combine like terms: 9.3 + -9.3 = 0.0 -9.3 + -29.5t + 4.9t2 = 0.0 + 30.5t + -30.5t + -4.9t2 + 4.9t2 -9.3 + -29.5t + 4.9t2 = 30.5t + -30.5t + -4.9t2 + 4.9t2 Combine like terms: 30.5t + -30.5t = 0.0 -9.3 + -29.5t + 4.9t2 = 0.0 + -4.9t2 + 4.9t2 -9.3 + -29.5t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 -9.3 + -29.5t + 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'. -1.897959184 + -6.020408163t + t2 = 0 Move the constant term to the right: Add '1.897959184' to each side of the equation. -1.897959184 + -6.020408163t + 1.897959184 + t2 = 0 + 1.897959184 Reorder the terms: -1.897959184 + 1.897959184 + -6.020408163t + t2 = 0 + 1.897959184 Combine like terms: -1.897959184 + 1.897959184 = 0.000000000 0.000000000 + -6.020408163t + t2 = 0 + 1.897959184 -6.020408163t + t2 = 0 + 1.897959184 Combine like terms: 0 + 1.897959184 = 1.897959184 -6.020408163t + t2 = 1.897959184 The t term is -6.020408163t. Take half its coefficient (-3.010204082). Square it (9.061328615) and add it to both sides. Add '9.061328615' to each side of the equation. -6.020408163t + 9.061328615 + t2 = 1.897959184 + 9.061328615 Reorder the terms: 9.061328615 + -6.020408163t + t2 = 1.897959184 + 9.061328615 Combine like terms: 1.897959184 + 9.061328615 = 10.959287799 9.061328615 + -6.020408163t + t2 = 10.959287799 Factor a perfect square on the left side: (t + -3.010204082)(t + -3.010204082) = 10.959287799 Calculate the square root of the right side: 3.310481506 Break this problem into two subproblems by setting (t + -3.010204082) equal to 3.310481506 and -3.310481506.Subproblem 1
t + -3.010204082 = 3.310481506 Simplifying t + -3.010204082 = 3.310481506 Reorder the terms: -3.010204082 + t = 3.310481506 Solving -3.010204082 + t = 3.310481506 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.010204082' to each side of the equation. -3.010204082 + 3.010204082 + t = 3.310481506 + 3.010204082 Combine like terms: -3.010204082 + 3.010204082 = 0.000000000 0.000000000 + t = 3.310481506 + 3.010204082 t = 3.310481506 + 3.010204082 Combine like terms: 3.310481506 + 3.010204082 = 6.320685588 t = 6.320685588 Simplifying t = 6.320685588Subproblem 2
t + -3.010204082 = -3.310481506 Simplifying t + -3.010204082 = -3.310481506 Reorder the terms: -3.010204082 + t = -3.310481506 Solving -3.010204082 + t = -3.310481506 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.010204082' to each side of the equation. -3.010204082 + 3.010204082 + t = -3.310481506 + 3.010204082 Combine like terms: -3.010204082 + 3.010204082 = 0.000000000 0.000000000 + t = -3.310481506 + 3.010204082 t = -3.310481506 + 3.010204082 Combine like terms: -3.310481506 + 3.010204082 = -0.300277424 t = -0.300277424 Simplifying t = -0.300277424Solution
The solution to the problem is based on the solutions from the subproblems. t = {6.320685588, -0.300277424}
| 0+x=-4 | | 21a-6=3a | | 5w^2+10=0 | | 7k-7k=1 | | 3x^2+28x-32=0 | | -4x-59=17-8x | | 2z-28=4z+2 | | 2x-10=x-1 | | 5+7p=p+5 | | x^2+10x-1100=0 | | -77=-7(q+47) | | 2g-60=14g | | 4p+2=3y-2 | | x+8=14+4x | | y=-2(x+6) | | -4(m+-29)=56 | | 9(h+2)=90 | | 2x+10=x-1 | | 8(2j-6)=2(4j-4) | | 3(1)+3= | | y+8=.2 | | -4(5m+9)=-2(8m+6) | | 2x-(-7)=11 | | -37-12x=17-9x | | 13+13+13= | | 4(7)-y=7 | | 9=-4x+3y | | 6(p-8)=78 | | X+22=8x | | 6(p-48)=78 | | 7(-1)+2= | | 14-1w=6w-168 |