If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6 = -16t2 + 20t + 10 Reorder the terms: 6 = 10 + 20t + -16t2 Solving 6 = 10 + 20t + -16t2 Solving for variable 't'. Combine like terms: 6 + -10 = -4 -4 + -20t + 16t2 = 10 + 20t + -16t2 + -10 + -20t + 16t2 Reorder the terms: -4 + -20t + 16t2 = 10 + -10 + 20t + -20t + -16t2 + 16t2 Combine like terms: 10 + -10 = 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}
| 136=-8(4k-1) | | z-4=2z | | -12x+(-13)=5x-10x | | 3x+7-x=1+x-8 | | 11x-2x=5x-3 | | v-2=5 | | 42+4x=6x+6 | | 8=6+7 | | 6z+9=7z-2z | | 3(y+2)=2y | | y^2-147=0 | | 4x^4-4x^2-9=0 | | 5bx-2a= | | 3x+7-x=6+x+2 | | 6g+3(-3+5g)=1-g | | (4x+9)(3x+4)= | | 13x-2+33x=-2+180 | | 50+80+x+59=180 | | 9-2.3+u=(9-3.8)(2)+u | | 4a-b= | | x-5(3)=12+2x | | a^5+2a^3-2a^4-2a^2+a=0 | | 0.20x+.05(4-x)=.10(128) | | 8+2(8x-6)=16-4 | | 3(m+2)=8+n | | (X^3-3X^2)-(2X-6)=0 | | 5x+1+x+12=7x+6 | | 2x+5x=11 | | -13p-4(4-5p)=5(p-2)-16 | | 6z=4.2 | | 15x-x^2=296 | | 45=10+5x |