If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 16t2 + 112t + -10 Reorder the terms: 0 = -10 + 112t + 16t2 Solving 0 = -10 + 112t + 16t2 Solving for variable 't'. Combine like terms: 0 + 10 = 10 10 + -112t + -16t2 = -10 + 112t + 16t2 + 10 + -112t + -16t2 Reorder the terms: 10 + -112t + -16t2 = -10 + 10 + 112t + -112t + 16t2 + -16t2 Combine like terms: -10 + 10 = 0 10 + -112t + -16t2 = 0 + 112t + -112t + 16t2 + -16t2 10 + -112t + -16t2 = 112t + -112t + 16t2 + -16t2 Combine like terms: 112t + -112t = 0 10 + -112t + -16t2 = 0 + 16t2 + -16t2 10 + -112t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 10 + -112t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -56t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -56t + -8t2)' equal to zero and attempt to solve: Simplifying 5 + -56t + -8t2 = 0 Solving 5 + -56t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -0.625 + 7t + t2 = 0 Move the constant term to the right: Add '0.625' to each side of the equation. -0.625 + 7t + 0.625 + t2 = 0 + 0.625 Reorder the terms: -0.625 + 0.625 + 7t + t2 = 0 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + 7t + t2 = 0 + 0.625 7t + t2 = 0 + 0.625 Combine like terms: 0 + 0.625 = 0.625 7t + t2 = 0.625 The t term is 7t. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7t + 12.25 + t2 = 0.625 + 12.25 Reorder the terms: 12.25 + 7t + t2 = 0.625 + 12.25 Combine like terms: 0.625 + 12.25 = 12.875 12.25 + 7t + t2 = 12.875 Factor a perfect square on the left side: (t + 3.5)(t + 3.5) = 12.875 Calculate the square root of the right side: 3.588175024 Break this problem into two subproblems by setting (t + 3.5) equal to 3.588175024 and -3.588175024.Subproblem 1
t + 3.5 = 3.588175024 Simplifying t + 3.5 = 3.588175024 Reorder the terms: 3.5 + t = 3.588175024 Solving 3.5 + t = 3.588175024 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + t = 3.588175024 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + t = 3.588175024 + -3.5 t = 3.588175024 + -3.5 Combine like terms: 3.588175024 + -3.5 = 0.088175024 t = 0.088175024 Simplifying t = 0.088175024Subproblem 2
t + 3.5 = -3.588175024 Simplifying t + 3.5 = -3.588175024 Reorder the terms: 3.5 + t = -3.588175024 Solving 3.5 + t = -3.588175024 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + t = -3.588175024 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + t = -3.588175024 + -3.5 t = -3.588175024 + -3.5 Combine like terms: -3.588175024 + -3.5 = -7.088175024 t = -7.088175024 Simplifying t = -7.088175024Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.088175024, -7.088175024}Solution
t = {0.088175024, -7.088175024}
| 4x-4(5x+3)=84 | | 63=2x+x | | -19.5=-3x-6 | | 6w=27+3 | | -44+10x=x+73 | | 4x^2-140=-8x | | 3.4=-13.6+6-3.4c+1.7c | | 10x+72=180 | | 264=6(m+4) | | 2cosx=3 | | (2x+6)(2x+4)=48 | | a-13=6 | | 4X-4(5x+3)=8 | | 7.5x^2-63x-492=0 | | 4x-35=137 | | (4k+5)=(3k-2) | | 8.2c= | | 5k-13=-38 | | 15s=300 | | t(x)=3x | | (4x-(5))+3x+11=90 | | 3b^2=-3b | | (5y+2)=7y | | v=8*13*3 | | (x+3)(x+10)=60 | | en-8=4 | | 9x-15y=6y | | -362=-10-11n | | b-5.2=2.6 | | (m+8)=12 | | 5+n=2827.9227 | | -3x^2+8mx+4m=0 |