If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8 = -16t2 + 20t + 12 Reorder the terms: 8 = 12 + 20t + -16t2 Solving 8 = 12 + 20t + -16t2 Solving for variable 't'. Combine like terms: 8 + -12 = -4 -4 + -20t + 16t2 = 12 + 20t + -16t2 + -12 + -20t + 16t2 Reorder the terms: -4 + -20t + 16t2 = 12 + -12 + 20t + -20t + -16t2 + 16t2 Combine like terms: 12 + -12 = 0 -4 + -20t + 16t2 = 0 + 20t + -20t + -16t2 + 16t2 -4 + -20t + 16t2 = 20t + -20t + -16t2 + 16t2 Combine like terms: 20t + -20t = 0 -4 + -20t + 16t2 = 0 + -16t2 + 16t2 -4 + -20t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -4 + -20t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -5t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -5t + 4t2)' equal to zero and attempt to solve: Simplifying -1 + -5t + 4t2 = 0 Solving -1 + -5t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.25 + -1.25t + t2 = 0 Move the constant term to the right: Add '0.25' to each side of the equation. -0.25 + -1.25t + 0.25 + t2 = 0 + 0.25 Reorder the terms: -0.25 + 0.25 + -1.25t + t2 = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -1.25t + t2 = 0 + 0.25 -1.25t + t2 = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 -1.25t + t2 = 0.25 The t term is -1.25t. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25t + 0.390625 + t2 = 0.25 + 0.390625 Reorder the terms: 0.390625 + -1.25t + t2 = 0.25 + 0.390625 Combine like terms: 0.25 + 0.390625 = 0.640625 0.390625 + -1.25t + t2 = 0.640625 Factor a perfect square on the left side: (t + -0.625)(t + -0.625) = 0.640625 Calculate the square root of the right side: 0.80039053 Break this problem into two subproblems by setting (t + -0.625) equal to 0.80039053 and -0.80039053.Subproblem 1
t + -0.625 = 0.80039053 Simplifying t + -0.625 = 0.80039053 Reorder the terms: -0.625 + t = 0.80039053 Solving -0.625 + t = 0.80039053 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + t = 0.80039053 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + t = 0.80039053 + 0.625 t = 0.80039053 + 0.625 Combine like terms: 0.80039053 + 0.625 = 1.42539053 t = 1.42539053 Simplifying t = 1.42539053Subproblem 2
t + -0.625 = -0.80039053 Simplifying t + -0.625 = -0.80039053 Reorder the terms: -0.625 + t = -0.80039053 Solving -0.625 + t = -0.80039053 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + t = -0.80039053 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + t = -0.80039053 + 0.625 t = -0.80039053 + 0.625 Combine like terms: -0.80039053 + 0.625 = -0.17539053 t = -0.17539053 Simplifying t = -0.17539053Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.42539053, -0.17539053}Solution
t = {1.42539053, -0.17539053}
| 2x(x+3)+2x=46 | | A=1.7(10)m^2 | | 95+120y=1265 | | t+17=65 | | 2(1)=5+7(1) | | 80=20log(P/20) | | 8x^2+x+4x^2=7x | | -2x-4y=50 | | 9x+6y=13 | | xy+4y=1 | | -8f+5-6=-35 | | M-(-8)=-49 | | -23=6+9(R-2) | | 2x=5+7x | | y=4x+8.6 | | 10a=-5 | | 7y-8+3y-2=180 | | -2n^2-5n+15=0 | | (20m+3)-(7m-5)= | | 6x^2-28x-20=2x^2+4x | | 9x+4y=300 | | 3(x+2)=9x-9 | | -3Q^2-27Q=1400 | | -16x^2+64x+1=29 | | P=25x-10x+250 | | (2z-5)(6z+7)=0 | | -16x^2+64x+1=1 | | 6x+3y=200 | | 4(x+10)-2x-60=40 | | 3+4r=11r-24 | | 8-7x=3x-82 | | y-28=6 |