If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 48 + 80t + -16t2 Solving 0 = 48 + 80t + -16t2 Solving for variable 't'. Combine like terms: 0 + -48 = -48 -48 + -80t + 16t2 = 48 + 80t + -16t2 + -48 + -80t + 16t2 Reorder the terms: -48 + -80t + 16t2 = 48 + -48 + 80t + -80t + -16t2 + 16t2 Combine like terms: 48 + -48 = 0 -48 + -80t + 16t2 = 0 + 80t + -80t + -16t2 + 16t2 -48 + -80t + 16t2 = 80t + -80t + -16t2 + 16t2 Combine like terms: 80t + -80t = 0 -48 + -80t + 16t2 = 0 + -16t2 + 16t2 -48 + -80t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -48 + -80t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(-3 + -5t + t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-3 + -5t + t2)' equal to zero and attempt to solve: Simplifying -3 + -5t + t2 = 0 Solving -3 + -5t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '3' to each side of the equation. -3 + -5t + 3 + t2 = 0 + 3 Reorder the terms: -3 + 3 + -5t + t2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5t + t2 = 0 + 3 -5t + t2 = 0 + 3 Combine like terms: 0 + 3 = 3 -5t + t2 = 3 The t term is -5t. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5t + 6.25 + t2 = 3 + 6.25 Reorder the terms: 6.25 + -5t + t2 = 3 + 6.25 Combine like terms: 3 + 6.25 = 9.25 6.25 + -5t + t2 = 9.25 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = 9.25 Calculate the square root of the right side: 3.041381265 Break this problem into two subproblems by setting (t + -2.5) equal to 3.041381265 and -3.041381265.Subproblem 1
t + -2.5 = 3.041381265 Simplifying t + -2.5 = 3.041381265 Reorder the terms: -2.5 + t = 3.041381265 Solving -2.5 + t = 3.041381265 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + t = 3.041381265 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = 3.041381265 + 2.5 t = 3.041381265 + 2.5 Combine like terms: 3.041381265 + 2.5 = 5.541381265 t = 5.541381265 Simplifying t = 5.541381265Subproblem 2
t + -2.5 = -3.041381265 Simplifying t + -2.5 = -3.041381265 Reorder the terms: -2.5 + t = -3.041381265 Solving -2.5 + t = -3.041381265 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + t = -3.041381265 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = -3.041381265 + 2.5 t = -3.041381265 + 2.5 Combine like terms: -3.041381265 + 2.5 = -0.541381265 t = -0.541381265 Simplifying t = -0.541381265Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.541381265, -0.541381265}Solution
t = {5.541381265, -0.541381265}
| 5x*10=10 | | (4x+6)*(2x+3)=0 | | 10(x+5)-20=-5x+15 | | -13x-20=-11x+90 | | 10z=5(2z+3) | | 4a+3b+3c=320 | | 7y-35=8 | | 00=-16t^2+95t+6 | | ab+ac+bc=80 | | 4(x-2)=13 | | c^2-c+3=0 | | 8/9*8=8+4/9*x | | 8/9*8=8+4/9*8 | | Y^2-4y+9=0 | | 7x-2=25-2x | | 2(5+x)-3x=-4(2+x) | | 12*4=a | | (x-2y-1)dx-(x-3)dy=0 | | 27-w=168 | | (x-2)+72+=180 | | 2cos^2(2x)-cos(2x)=0 | | -12r+-24=-36 | | 6y+54= | | 3w^3=675 | | (xy-1)(x^2+y^2)=0 | | 4(x+9)=3x+41 | | 5(2x-3)=3(3x-7) | | x*2+6=9 | | 2ab+2ac+bc=320 | | 3x=5-2(3x+4x) | | 9x^2-8x-8=0 | | x+23-3= |