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 + 72t + 20 Reorder the terms: 0 = 20 + 72t + 16t2 Solving 0 = 20 + 72t + 16t2 Solving for variable 't'. Combine like terms: 0 + -20 = -20 -20 + -72t + -16t2 = 20 + 72t + 16t2 + -20 + -72t + -16t2 Reorder the terms: -20 + -72t + -16t2 = 20 + -20 + 72t + -72t + 16t2 + -16t2 Combine like terms: 20 + -20 = 0 -20 + -72t + -16t2 = 0 + 72t + -72t + 16t2 + -16t2 -20 + -72t + -16t2 = 72t + -72t + 16t2 + -16t2 Combine like terms: 72t + -72t = 0 -20 + -72t + -16t2 = 0 + 16t2 + -16t2 -20 + -72t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -20 + -72t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(5 + 18t + 4t2) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(5 + 18t + 4t2)' equal to zero and attempt to solve: Simplifying 5 + 18t + 4t2 = 0 Solving 5 + 18t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + 4.5t + t2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 4.5t + -1.25 + t2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 4.5t + t2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 4.5t + t2 = 0 + -1.25 4.5t + t2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 4.5t + t2 = -1.25 The t term is 4.5t. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5t + 5.0625 + t2 = -1.25 + 5.0625 Reorder the terms: 5.0625 + 4.5t + t2 = -1.25 + 5.0625 Combine like terms: -1.25 + 5.0625 = 3.8125 5.0625 + 4.5t + t2 = 3.8125 Factor a perfect square on the left side: (t + 2.25)(t + 2.25) = 3.8125 Calculate the square root of the right side: 1.952562419 Break this problem into two subproblems by setting (t + 2.25) equal to 1.952562419 and -1.952562419.Subproblem 1
t + 2.25 = 1.952562419 Simplifying t + 2.25 = 1.952562419 Reorder the terms: 2.25 + t = 1.952562419 Solving 2.25 + t = 1.952562419 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + t = 1.952562419 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + t = 1.952562419 + -2.25 t = 1.952562419 + -2.25 Combine like terms: 1.952562419 + -2.25 = -0.297437581 t = -0.297437581 Simplifying t = -0.297437581Subproblem 2
t + 2.25 = -1.952562419 Simplifying t + 2.25 = -1.952562419 Reorder the terms: 2.25 + t = -1.952562419 Solving 2.25 + t = -1.952562419 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + t = -1.952562419 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + t = -1.952562419 + -2.25 t = -1.952562419 + -2.25 Combine like terms: -1.952562419 + -2.25 = -4.202562419 t = -4.202562419 Simplifying t = -4.202562419Solution
The solution to the problem is based on the solutions from the subproblems. t = {-0.297437581, -4.202562419}Solution
t = {-0.297437581, -4.202562419}
| sin(x)=(-7/10) | | sin(x)=(7/10) | | t(t-4)(t+9)=0 | | (1/3)93squared | | X^2+5x-16250=0 | | 10(z+1)-4(z-3)=3(z-1)+2(z-4) | | S^5=20 | | Y^2=216 | | (5w^2-7w+6)+(-4w^2+2w+3)= | | 7x/6=3x/2 | | 1-2x-3/5 | | 5cos^2x+4cosx=0 | | 1X+3Y=38 | | 9+3x=5x-5 | | x^2-4+y^2-2y=14 | | 12a-1=65-5a | | 89+5x-6+57=180 | | 3y=12x-18 | | 100+55+500=999 | | 31+11x+11+39=180 | | 2x+3x+4x-6=5x-10 | | 2log(5-x)-10=-6 | | x-5(-5x-20)+2=0 | | (50-2x)(40-2x)=1184 | | m+108-108=243-108 | | x^2-1.157x+0.77=0 | | 1.5x-5.5=.5 | | 3/2x-11/2=1/2 | | 11=-7v+4(v+2) | | 3-4x=3x-8 | | 20x+5y=300 | | 6tanx=0 |