If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 14t + 270 = 0 Reorder the terms: 270 + 14t + -16t2 = 0 Solving 270 + 14t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(135 + 7t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(135 + 7t + -8t2)' equal to zero and attempt to solve: Simplifying 135 + 7t + -8t2 = 0 Solving 135 + 7t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -16.875 + -0.875t + t2 = 0 Move the constant term to the right: Add '16.875' to each side of the equation. -16.875 + -0.875t + 16.875 + t2 = 0 + 16.875 Reorder the terms: -16.875 + 16.875 + -0.875t + t2 = 0 + 16.875 Combine like terms: -16.875 + 16.875 = 0.000 0.000 + -0.875t + t2 = 0 + 16.875 -0.875t + t2 = 0 + 16.875 Combine like terms: 0 + 16.875 = 16.875 -0.875t + t2 = 16.875 The t term is -0.875t. Take half its coefficient (-0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. -0.875t + 0.19140625 + t2 = 16.875 + 0.19140625 Reorder the terms: 0.19140625 + -0.875t + t2 = 16.875 + 0.19140625 Combine like terms: 16.875 + 0.19140625 = 17.06640625 0.19140625 + -0.875t + t2 = 17.06640625 Factor a perfect square on the left side: (t + -0.4375)(t + -0.4375) = 17.06640625 Calculate the square root of the right side: 4.131150717 Break this problem into two subproblems by setting (t + -0.4375) equal to 4.131150717 and -4.131150717.Subproblem 1
t + -0.4375 = 4.131150717 Simplifying t + -0.4375 = 4.131150717 Reorder the terms: -0.4375 + t = 4.131150717 Solving -0.4375 + t = 4.131150717 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.4375' to each side of the equation. -0.4375 + 0.4375 + t = 4.131150717 + 0.4375 Combine like terms: -0.4375 + 0.4375 = 0.0000 0.0000 + t = 4.131150717 + 0.4375 t = 4.131150717 + 0.4375 Combine like terms: 4.131150717 + 0.4375 = 4.568650717 t = 4.568650717 Simplifying t = 4.568650717Subproblem 2
t + -0.4375 = -4.131150717 Simplifying t + -0.4375 = -4.131150717 Reorder the terms: -0.4375 + t = -4.131150717 Solving -0.4375 + t = -4.131150717 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.4375' to each side of the equation. -0.4375 + 0.4375 + t = -4.131150717 + 0.4375 Combine like terms: -0.4375 + 0.4375 = 0.0000 0.0000 + t = -4.131150717 + 0.4375 t = -4.131150717 + 0.4375 Combine like terms: -4.131150717 + 0.4375 = -3.693650717 t = -3.693650717 Simplifying t = -3.693650717Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.568650717, -3.693650717}Solution
t = {4.568650717, -3.693650717}
| -6x+7+7x=6+x+1 | | .75(0)-.66x=12 | | ae+n=p | | 0=2x^2+9x+4 | | 6k-(5+k)=-(3k+5) | | 3x^4-6x^3-2x^2=0 | | 2y^2-9y+8=0 | | 6n-22=-18+5n | | 12x+7=12x-5 | | x-.12x=503.23 | | 3t-17=-47+8t | | -3x-7y=14 | | 3(x-4)+4x-7=-3x+11 | | 2(10)-y=14 | | 5.5+2x=41.5 | | 19.9x+10=34+9.9x | | 3x^2+12=20x | | p=60-3q | | x=5-3y | | Y+(y+1)+(y+2)=45 | | (3t-12)=27 | | a^3-8a=3 | | 6=10-4 | | 36=7b+1 | | 5x-7=(-6)x-29 | | 4x-2(x-5)=-3+4x+4 | | -p-2=18-27p+6 | | 1650+x(145.50)=3250.50 | | 22c+17=11+3c | | 10=0.3x+9.1 | | -9x-7(0)=-30 | | 2x^4-4x^3-1x^2=0 |