If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 48t + 256 = 0 Reorder the terms: 256 + 48t + -16t2 = 0 Solving 256 + 48t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16'. 16(16 + 3t + -1t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(16 + 3t + -1t2)' equal to zero and attempt to solve: Simplifying 16 + 3t + -1t2 = 0 Solving 16 + 3t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -16 + -3t + t2 = 0 Move the constant term to the right: Add '16' to each side of the equation. -16 + -3t + 16 + t2 = 0 + 16 Reorder the terms: -16 + 16 + -3t + t2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3t + t2 = 0 + 16 -3t + t2 = 0 + 16 Combine like terms: 0 + 16 = 16 -3t + t2 = 16 The t term is -3t. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3t + 2.25 + t2 = 16 + 2.25 Reorder the terms: 2.25 + -3t + t2 = 16 + 2.25 Combine like terms: 16 + 2.25 = 18.25 2.25 + -3t + t2 = 18.25 Factor a perfect square on the left side: (t + -1.5)(t + -1.5) = 18.25 Calculate the square root of the right side: 4.272001873 Break this problem into two subproblems by setting (t + -1.5) equal to 4.272001873 and -4.272001873.Subproblem 1
t + -1.5 = 4.272001873 Simplifying t + -1.5 = 4.272001873 Reorder the terms: -1.5 + t = 4.272001873 Solving -1.5 + t = 4.272001873 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + t = 4.272001873 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + t = 4.272001873 + 1.5 t = 4.272001873 + 1.5 Combine like terms: 4.272001873 + 1.5 = 5.772001873 t = 5.772001873 Simplifying t = 5.772001873Subproblem 2
t + -1.5 = -4.272001873 Simplifying t + -1.5 = -4.272001873 Reorder the terms: -1.5 + t = -4.272001873 Solving -1.5 + t = -4.272001873 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + t = -4.272001873 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + t = -4.272001873 + 1.5 t = -4.272001873 + 1.5 Combine like terms: -4.272001873 + 1.5 = -2.772001873 t = -2.772001873 Simplifying t = -2.772001873Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.772001873, -2.772001873}Solution
t = {5.772001873, -2.772001873}
| 8x-6=9x+7 | | 0.5(4-10f)+5=0.6(6f-3) | | 5p+7=6p | | 3.7b+7=8.1b+-19.4 | | 0=a/4-4 | | 75a^2-30ab+3b^2=0 | | 16(x+1)=8(x+7) | | 4.5n=18 | | x^2-5x^2=196 | | y=gx+n | | 4x+2x-3=15 | | -12+4x+x^2=0 | | -7(x-2)=-4-6(x-1) | | 6p-3(4-5p)= | | 35x=50(x+15) | | 3(5-t-4t)=18 | | 6x^5y^3+30x^5y^2+18xy=0 | | 5=9(x+2)+2 | | 4h-4h=18 | | -3(x+3)=7.5 | | -3(-7v+3)+8v=5v-4(1-6v) | | 25h+40=-5h-80 | | 5+-(n-4)=3(n+6) | | 8p-47=15p+2 | | -15-(-100)+18= | | -10(-10+n)=-100 | | x-3/8=12 | | 10x=40X+40 | | 12a+14=2 | | 3+2(4a+5)=2(a-3)5 | | 5g-(4+3g)=8+6(2g+5) | | 23=2y-7 |