If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 42t + 11 = 35 Reorder the terms: 11 + 42t + -16t2 = 35 Solving 11 + 42t + -16t2 = 35 Solving for variable 't'. Reorder the terms: 11 + -35 + 42t + -16t2 = 35 + -35 Combine like terms: 11 + -35 = -24 -24 + 42t + -16t2 = 35 + -35 Combine like terms: 35 + -35 = 0 -24 + 42t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 21t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + 21t + -8t2)' equal to zero and attempt to solve: Simplifying -12 + 21t + -8t2 = 0 Solving -12 + 21t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 1.5 + -2.625t + t2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -2.625t + -1.5 + t2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -2.625t + t2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -2.625t + t2 = 0 + -1.5 -2.625t + t2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -2.625t + t2 = -1.5 The t term is -2.625t. Take half its coefficient (-1.3125). Square it (1.72265625) and add it to both sides. Add '1.72265625' to each side of the equation. -2.625t + 1.72265625 + t2 = -1.5 + 1.72265625 Reorder the terms: 1.72265625 + -2.625t + t2 = -1.5 + 1.72265625 Combine like terms: -1.5 + 1.72265625 = 0.22265625 1.72265625 + -2.625t + t2 = 0.22265625 Factor a perfect square on the left side: (t + -1.3125)(t + -1.3125) = 0.22265625 Calculate the square root of the right side: 0.471864652 Break this problem into two subproblems by setting (t + -1.3125) equal to 0.471864652 and -0.471864652.Subproblem 1
t + -1.3125 = 0.471864652 Simplifying t + -1.3125 = 0.471864652 Reorder the terms: -1.3125 + t = 0.471864652 Solving -1.3125 + t = 0.471864652 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.3125' to each side of the equation. -1.3125 + 1.3125 + t = 0.471864652 + 1.3125 Combine like terms: -1.3125 + 1.3125 = 0.0000 0.0000 + t = 0.471864652 + 1.3125 t = 0.471864652 + 1.3125 Combine like terms: 0.471864652 + 1.3125 = 1.784364652 t = 1.784364652 Simplifying t = 1.784364652Subproblem 2
t + -1.3125 = -0.471864652 Simplifying t + -1.3125 = -0.471864652 Reorder the terms: -1.3125 + t = -0.471864652 Solving -1.3125 + t = -0.471864652 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.3125' to each side of the equation. -1.3125 + 1.3125 + t = -0.471864652 + 1.3125 Combine like terms: -1.3125 + 1.3125 = 0.0000 0.0000 + t = -0.471864652 + 1.3125 t = -0.471864652 + 1.3125 Combine like terms: -0.471864652 + 1.3125 = 0.840635348 t = 0.840635348 Simplifying t = 0.840635348Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.784364652, 0.840635348}Solution
t = {1.784364652, 0.840635348}
| 3x+11=6x-25 | | 8(1-7n)=-40-8n | | 9y-5y+10=-17 | | p/2-5 | | 3.4=57.8 | | 0=y^2-4y-21 | | 7y-12=4Y-5 | | 40-(3x+4)=3(x+5)+x | | -34/6 | | 24=3w-15 | | 5x-33=8x-28 | | 8x+16=11x-8 | | sin(x)=.7 | | 15ab-(ab)= | | -2(x+6)+1=-8(2x-1)-5x | | 3x-5=8(8x+7) | | 7(x-6)=14-7x | | 4x-8=2x-3 | | y=x^4-8x^3+12x^2-27 | | 4x+2=5y-5 | | 47=3w-13 | | c-2whenc=7 | | B-6b=55 | | 23+4r=5(r+3) | | 109.3034=3.24r^2 | | 2109.3034=3.14r^2 | | -5(x+5)=-35-3x | | (-2x+1)(3)= | | 24x^2+33x-30=0 | | -x+2-2x=0 | | -8=7+y | | 10*x=0.85 |