If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16t2 + -16t + -4 = 0 Reorder the terms: -4 + -16t + 16t2 = 0 Solving -4 + -16t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -4t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -4t + 4t2)' equal to zero and attempt to solve: Simplifying -1 + -4t + 4t2 = 0 Solving -1 + -4t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.25 + -1t + t2 = 0 Move the constant term to the right: Add '0.25' to each side of the equation. -0.25 + -1t + 0.25 + t2 = 0 + 0.25 Reorder the terms: -0.25 + 0.25 + -1t + t2 = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -1t + t2 = 0 + 0.25 -1t + t2 = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 -1t + t2 = 0.25 The t term is -1t. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1t + 0.25 + t2 = 0.25 + 0.25 Reorder the terms: 0.25 + -1t + t2 = 0.25 + 0.25 Combine like terms: 0.25 + 0.25 = 0.5 0.25 + -1t + t2 = 0.5 Factor a perfect square on the left side: (t + -0.5)(t + -0.5) = 0.5 Calculate the square root of the right side: 0.707106781 Break this problem into two subproblems by setting (t + -0.5) equal to 0.707106781 and -0.707106781.Subproblem 1
t + -0.5 = 0.707106781 Simplifying t + -0.5 = 0.707106781 Reorder the terms: -0.5 + t = 0.707106781 Solving -0.5 + t = 0.707106781 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + t = 0.707106781 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + t = 0.707106781 + 0.5 t = 0.707106781 + 0.5 Combine like terms: 0.707106781 + 0.5 = 1.207106781 t = 1.207106781 Simplifying t = 1.207106781Subproblem 2
t + -0.5 = -0.707106781 Simplifying t + -0.5 = -0.707106781 Reorder the terms: -0.5 + t = -0.707106781 Solving -0.5 + t = -0.707106781 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + t = -0.707106781 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + t = -0.707106781 + 0.5 t = -0.707106781 + 0.5 Combine like terms: -0.707106781 + 0.5 = -0.207106781 t = -0.207106781 Simplifying t = -0.207106781Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.207106781, -0.207106781}Solution
t = {1.207106781, -0.207106781}
| 3X-40=2X-16 | | -15+6x=-22+4x | | 7u^2+41u-6=0 | | -4x+8x-15=4(x-3)-34 | | 4(a+2)-2(a+1)= | | 3X-40=2X-22 | | 12w^2+8w=-7w-3w+14 | | 8.2=-1.3g | | -2x+5-11=3(x-3)-36 | | 3X-40=X-22 | | n+20=70 | | 11+7h-5= | | 98z^2+84z+18=0 | | 18/11-x=30 | | x^3-3x^2+25=75 | | B/43 | | 3y^2-33y+72=0 | | 13-3/2x=12 | | 4x3/4= | | ax^2-4=2ax-2a | | x+(x+2)+(x+4)=93 | | x+(x+2)+(x+2)=93 | | 3-10y=9 | | log(x)=.3 | | 3(4-2x)+x=11 | | -4+5+14+x=16 | | .66(x+6)=-18 | | -20-8a=5a-4(-2+5a) | | 3568900000-15000000x=208500000000+555000000x | | 7v-6u+5v-2u= | | 9n+4=45 | | 7(x+2)-(6n+5)= |