If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10 = -16t2 + 24t + 7 Reorder the terms: 10 = 7 + 24t + -16t2 Solving 10 = 7 + 24t + -16t2 Solving for variable 't'. Combine like terms: 10 + -7 = 3 3 + -24t + 16t2 = 7 + 24t + -16t2 + -7 + -24t + 16t2 Reorder the terms: 3 + -24t + 16t2 = 7 + -7 + 24t + -24t + -16t2 + 16t2 Combine like terms: 7 + -7 = 0 3 + -24t + 16t2 = 0 + 24t + -24t + -16t2 + 16t2 3 + -24t + 16t2 = 24t + -24t + -16t2 + 16t2 Combine like terms: 24t + -24t = 0 3 + -24t + 16t2 = 0 + -16t2 + 16t2 3 + -24t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 3 + -24t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.1875 + -1.5t + t2 = 0 Move the constant term to the right: Add '-0.1875' to each side of the equation. 0.1875 + -1.5t + -0.1875 + t2 = 0 + -0.1875 Reorder the terms: 0.1875 + -0.1875 + -1.5t + t2 = 0 + -0.1875 Combine like terms: 0.1875 + -0.1875 = 0.0000 0.0000 + -1.5t + t2 = 0 + -0.1875 -1.5t + t2 = 0 + -0.1875 Combine like terms: 0 + -0.1875 = -0.1875 -1.5t + t2 = -0.1875 The t term is -1.5t. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5t + 0.5625 + t2 = -0.1875 + 0.5625 Reorder the terms: 0.5625 + -1.5t + t2 = -0.1875 + 0.5625 Combine like terms: -0.1875 + 0.5625 = 0.375 0.5625 + -1.5t + t2 = 0.375 Factor a perfect square on the left side: (t + -0.75)(t + -0.75) = 0.375 Calculate the square root of the right side: 0.612372436 Break this problem into two subproblems by setting (t + -0.75) equal to 0.612372436 and -0.612372436.Subproblem 1
t + -0.75 = 0.612372436 Simplifying t + -0.75 = 0.612372436 Reorder the terms: -0.75 + t = 0.612372436 Solving -0.75 + t = 0.612372436 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + t = 0.612372436 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + t = 0.612372436 + 0.75 t = 0.612372436 + 0.75 Combine like terms: 0.612372436 + 0.75 = 1.362372436 t = 1.362372436 Simplifying t = 1.362372436Subproblem 2
t + -0.75 = -0.612372436 Simplifying t + -0.75 = -0.612372436 Reorder the terms: -0.75 + t = -0.612372436 Solving -0.75 + t = -0.612372436 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + t = -0.612372436 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + t = -0.612372436 + 0.75 t = -0.612372436 + 0.75 Combine like terms: -0.612372436 + 0.75 = 0.137627564 t = 0.137627564 Simplifying t = 0.137627564Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.362372436, 0.137627564}
| 2(3n+1)-n=17 | | -5(3x-4y+7)= | | 4(4x-8)=2(8x+1) | | 6u^7+28u^6+16u^5= | | Y=-16x^2+64x+5 | | 6.2x-3+x-1.1= | | 7g-4-3-7g= | | 6x+5=3x+55 | | 5+17x-1=9x+28-4x | | 129-6a=12a+23 | | 3x^2-12x=-2 | | 2x-7=-49 | | 4y+3y=21 | | y=e^5x | | 3x^2+9x+9=3 | | 32=32+16t+16t^2 | | 10x^2+6x-29=0 | | 6m+12m=162 | | H=-16t^2+16t+32 | | 4=2.36(-7)+b | | u-13=-13+4u | | 1-3x-88=35x | | -8.7x=60.9 | | 45x+5=4+5x | | 2n+5=8n-10+3 | | 13x+1=6x+4 | | 116-4x=32x+20 | | 7-7q=-15-9q | | 51x+98x+2=196x+2 | | -4x+2y=14 | | 4-2x=6+19x | | -6(4b+2)+(25b-6)=0 |