If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 70 + -4t + -16t2 Solving 0 = 70 + -4t + -16t2 Solving for variable 't'. Combine like terms: 0 + -70 = -70 -70 + 4t + 16t2 = 70 + -4t + -16t2 + -70 + 4t + 16t2 Reorder the terms: -70 + 4t + 16t2 = 70 + -70 + -4t + 4t + -16t2 + 16t2 Combine like terms: 70 + -70 = 0 -70 + 4t + 16t2 = 0 + -4t + 4t + -16t2 + 16t2 -70 + 4t + 16t2 = -4t + 4t + -16t2 + 16t2 Combine like terms: -4t + 4t = 0 -70 + 4t + 16t2 = 0 + -16t2 + 16t2 -70 + 4t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -70 + 4t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-35 + 2t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-35 + 2t + 8t2)' equal to zero and attempt to solve: Simplifying -35 + 2t + 8t2 = 0 Solving -35 + 2t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -4.375 + 0.25t + t2 = 0 Move the constant term to the right: Add '4.375' to each side of the equation. -4.375 + 0.25t + 4.375 + t2 = 0 + 4.375 Reorder the terms: -4.375 + 4.375 + 0.25t + t2 = 0 + 4.375 Combine like terms: -4.375 + 4.375 = 0.000 0.000 + 0.25t + t2 = 0 + 4.375 0.25t + t2 = 0 + 4.375 Combine like terms: 0 + 4.375 = 4.375 0.25t + t2 = 4.375 The t term is 0.25t. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25t + 0.015625 + t2 = 4.375 + 0.015625 Reorder the terms: 0.015625 + 0.25t + t2 = 4.375 + 0.015625 Combine like terms: 4.375 + 0.015625 = 4.390625 0.015625 + 0.25t + t2 = 4.390625 Factor a perfect square on the left side: (t + 0.125)(t + 0.125) = 4.390625 Calculate the square root of the right side: 2.095381827 Break this problem into two subproblems by setting (t + 0.125) equal to 2.095381827 and -2.095381827.Subproblem 1
t + 0.125 = 2.095381827 Simplifying t + 0.125 = 2.095381827 Reorder the terms: 0.125 + t = 2.095381827 Solving 0.125 + t = 2.095381827 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.125' to each side of the equation. 0.125 + -0.125 + t = 2.095381827 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + t = 2.095381827 + -0.125 t = 2.095381827 + -0.125 Combine like terms: 2.095381827 + -0.125 = 1.970381827 t = 1.970381827 Simplifying t = 1.970381827Subproblem 2
t + 0.125 = -2.095381827 Simplifying t + 0.125 = -2.095381827 Reorder the terms: 0.125 + t = -2.095381827 Solving 0.125 + t = -2.095381827 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.125' to each side of the equation. 0.125 + -0.125 + t = -2.095381827 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + t = -2.095381827 + -0.125 t = -2.095381827 + -0.125 Combine like terms: -2.095381827 + -0.125 = -2.220381827 t = -2.220381827 Simplifying t = -2.220381827Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.970381827, -2.220381827}Solution
t = {1.970381827, -2.220381827}
| 6-20=x | | 5-4r=8(1-8r)-3 | | 1.76g-4=0.40 | | 0.12(y-1)+0.02y=0.04y-0.01(40) | | 4b-1=-4+5b+3 | | 90=x+105 | | 0.4n+8=25 | | 159=96+2.1x | | 128=(x+2) | | 15-2(5-3)= | | 3x+26=-8(x-6) | | (y-6)-(y+5)=9y | | 3.96+0.05x=2+0.10x | | 2t-2=6 | | 12.50w=45.00 | | 6x+46=2x-58 | | 10x+5=-2x+16 | | 6x+4(1)=9 | | 17p-8p=9 | | .1(d-70)=0 | | -2(x+13)=12 | | b/9+1/5=16 | | 5s-23=-39+9s | | 5X+9=90 | | -72=8(-10+r) | | 4m-24=2m | | 6x+4(0)=9 | | 4s+7+9=-23 | | 6(0)+4y=9 | | -9p+7=5(-10p+3)-6(-6-7p) | | 2+4y=8y-2.3 | | x^2+4x+4-11x-22-7=0 |