If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 128t + 192 = 0 Reorder the terms: 192 + 128t + -16t2 = 0 Solving 192 + 128t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16'. 16(12 + 8t + -1t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(12 + 8t + -1t2)' equal to zero and attempt to solve: Simplifying 12 + 8t + -1t2 = 0 Solving 12 + 8t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -12 + -8t + t2 = 0 Move the constant term to the right: Add '12' to each side of the equation. -12 + -8t + 12 + t2 = 0 + 12 Reorder the terms: -12 + 12 + -8t + t2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -8t + t2 = 0 + 12 -8t + t2 = 0 + 12 Combine like terms: 0 + 12 = 12 -8t + t2 = 12 The t term is -8t. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8t + 16 + t2 = 12 + 16 Reorder the terms: 16 + -8t + t2 = 12 + 16 Combine like terms: 12 + 16 = 28 16 + -8t + t2 = 28 Factor a perfect square on the left side: (t + -4)(t + -4) = 28 Calculate the square root of the right side: 5.291502622 Break this problem into two subproblems by setting (t + -4) equal to 5.291502622 and -5.291502622.Subproblem 1
t + -4 = 5.291502622 Simplifying t + -4 = 5.291502622 Reorder the terms: -4 + t = 5.291502622 Solving -4 + t = 5.291502622 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = 5.291502622 + 4 Combine like terms: -4 + 4 = 0 0 + t = 5.291502622 + 4 t = 5.291502622 + 4 Combine like terms: 5.291502622 + 4 = 9.291502622 t = 9.291502622 Simplifying t = 9.291502622Subproblem 2
t + -4 = -5.291502622 Simplifying t + -4 = -5.291502622 Reorder the terms: -4 + t = -5.291502622 Solving -4 + t = -5.291502622 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = -5.291502622 + 4 Combine like terms: -4 + 4 = 0 0 + t = -5.291502622 + 4 t = -5.291502622 + 4 Combine like terms: -5.291502622 + 4 = -1.291502622 t = -1.291502622 Simplifying t = -1.291502622Solution
The solution to the problem is based on the solutions from the subproblems. t = {9.291502622, -1.291502622}Solution
t = {9.291502622, -1.291502622}
| 6y+12-4=6g | | 4x+1-2x=11 | | 2y-y^3=0 | | 3(-3G)=-8g+14 | | 2x^2-5x+24= | | X^5+7x^5y^3-63x^3y^2+35xy= | | 2(y+5)=-2(8y-3)+6y | | 16x-7+14x=12x-1 | | 10x+23=-11+8x | | 81x^5= | | -4p^2-20p+7=0 | | y=.2174x+15.71 | | xsquared-6=-5n | | e^10x=6 | | 2x^2-24-5x=0 | | 10x+23=-11+8 | | 2x-44=0 | | 10x-45=7x-60 | | X-6y=-24 | | -18w=20 | | 7(11x-2)=6(6x-1) | | -2-y=5wz+10 | | 6+2(3j-2)=4(1+1j) | | 5/7(x+1)=1/28(x+5) | | -18w=30 | | 5p+yr=r-6h | | 6x+6-8(x+1)=7x+2 | | 5c(c-2)=4-2c | | 8x+24=12x+4 | | -177+9x=123-6x | | yp+yz=k | | (8x-3)+(33+2x)=(10x+30) |