If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 64t + 20 = 0 Reorder the terms: 20 + 64t + -16t2 = 0 Solving 20 + 64t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4'. 4(5 + 16t + -4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + 16t + -4t2)' equal to zero and attempt to solve: Simplifying 5 + 16t + -4t2 = 0 Solving 5 + 16t + -4t2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -1.25 + -4t + t2 = 0 Move the constant term to the right: Add '1.25' to each side of the equation. -1.25 + -4t + 1.25 + t2 = 0 + 1.25 Reorder the terms: -1.25 + 1.25 + -4t + t2 = 0 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + -4t + t2 = 0 + 1.25 -4t + t2 = 0 + 1.25 Combine like terms: 0 + 1.25 = 1.25 -4t + t2 = 1.25 The t term is -4t. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4t + 4 + t2 = 1.25 + 4 Reorder the terms: 4 + -4t + t2 = 1.25 + 4 Combine like terms: 1.25 + 4 = 5.25 4 + -4t + t2 = 5.25 Factor a perfect square on the left side: (t + -2)(t + -2) = 5.25 Calculate the square root of the right side: 2.291287847 Break this problem into two subproblems by setting (t + -2) equal to 2.291287847 and -2.291287847.Subproblem 1
t + -2 = 2.291287847 Simplifying t + -2 = 2.291287847 Reorder the terms: -2 + t = 2.291287847 Solving -2 + t = 2.291287847 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = 2.291287847 + 2 Combine like terms: -2 + 2 = 0 0 + t = 2.291287847 + 2 t = 2.291287847 + 2 Combine like terms: 2.291287847 + 2 = 4.291287847 t = 4.291287847 Simplifying t = 4.291287847Subproblem 2
t + -2 = -2.291287847 Simplifying t + -2 = -2.291287847 Reorder the terms: -2 + t = -2.291287847 Solving -2 + t = -2.291287847 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = -2.291287847 + 2 Combine like terms: -2 + 2 = 0 0 + t = -2.291287847 + 2 t = -2.291287847 + 2 Combine like terms: -2.291287847 + 2 = -0.291287847 t = -0.291287847 Simplifying t = -0.291287847Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.291287847, -0.291287847}Solution
t = {4.291287847, -0.291287847}
| 16s=15s-19 | | 14x-52=7x-60 | | 3-8x=-4 | | 14x-5-10x= | | (3z-1)(7-z)=0 | | H=-16t^2+512t-3 | | 5x+104=13x-8 | | 9y+6=50 | | x^4+px^3+qx+36=0 | | x+5y+4=0 | | 4*10-y-y=20 | | 8x+9=7-(7x-9) | | y=-1/2x^3 | | 35-6x=8-9x | | 9(-3)=5f-160 | | log[48](x)+log[48](x-2)=1 | | 3m-5=2m+3 | | ax+6=8x+b | | 3x-5*(-7)=17 | | 2xsin(2x)=-1 | | y=-.05x^2+5x | | 5(x+3)-x=31 | | X^2+14x+49+x^2=169 | | 4x^2+11x-20=o | | [3-5x]=12 | | 10x+24=51x+412 | | 80+90= | | 5+4n=9-2n | | (9-y)(3y+7)=0 | | f(x)=2x^3-2x^2-32x+32 | | x^2=-13x-40 | | 7(5x+2)=35Y+14 |