If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16t2 + 27t + 10 = 0 Reorder the terms: 10 + 27t + 16t2 = 0 Solving 10 + 27t + 16t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.625 + 1.6875t + t2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + 1.6875t + -0.625 + t2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + 1.6875t + t2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 1.6875t + t2 = 0 + -0.625 1.6875t + t2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 1.6875t + t2 = -0.625 The t term is 1.6875t. Take half its coefficient (0.84375). Square it (0.7119140625) and add it to both sides. Add '0.7119140625' to each side of the equation. 1.6875t + 0.7119140625 + t2 = -0.625 + 0.7119140625 Reorder the terms: 0.7119140625 + 1.6875t + t2 = -0.625 + 0.7119140625 Combine like terms: -0.625 + 0.7119140625 = 0.0869140625 0.7119140625 + 1.6875t + t2 = 0.0869140625 Factor a perfect square on the left side: (t + 0.84375)(t + 0.84375) = 0.0869140625 Calculate the square root of the right side: 0.29481191 Break this problem into two subproblems by setting (t + 0.84375) equal to 0.29481191 and -0.29481191.Subproblem 1
t + 0.84375 = 0.29481191 Simplifying t + 0.84375 = 0.29481191 Reorder the terms: 0.84375 + t = 0.29481191 Solving 0.84375 + t = 0.29481191 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.84375' to each side of the equation. 0.84375 + -0.84375 + t = 0.29481191 + -0.84375 Combine like terms: 0.84375 + -0.84375 = 0.00000 0.00000 + t = 0.29481191 + -0.84375 t = 0.29481191 + -0.84375 Combine like terms: 0.29481191 + -0.84375 = -0.54893809 t = -0.54893809 Simplifying t = -0.54893809Subproblem 2
t + 0.84375 = -0.29481191 Simplifying t + 0.84375 = -0.29481191 Reorder the terms: 0.84375 + t = -0.29481191 Solving 0.84375 + t = -0.29481191 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.84375' to each side of the equation. 0.84375 + -0.84375 + t = -0.29481191 + -0.84375 Combine like terms: 0.84375 + -0.84375 = 0.00000 0.00000 + t = -0.29481191 + -0.84375 t = -0.29481191 + -0.84375 Combine like terms: -0.29481191 + -0.84375 = -1.13856191 t = -1.13856191 Simplifying t = -1.13856191Solution
The solution to the problem is based on the solutions from the subproblems. t = {-0.54893809, -1.13856191}
| 20x-5-12z=10z+8 | | 4x+3+1x-2=29 | | 5-2(1+3y)=27 | | 3(15-3y^2)+2y=5 | | x=0.30(70) | | 30n+100=700 | | (7/6x)-(1/3x)=30 | | -1+4x+3x+3=360 | | 6(4k-6)+4(-4+3k)=-16 | | 3x^2+12x+36=54 | | x^2-15x+15=-6x+1 | | y-3/4=8 | | 3d-7d+2.8=5.8-2.7 | | 3-6r+8= | | 19x-4=15x+4 | | e(7x+3)=4 | | 3x+8y-3= | | 3x+5=-1+4x | | 0.02x+8y=4 | | -1+4x=3x+5 | | m+3(m+7)= | | X^2-4x-3=9 | | -3/20x=2 | | 9x-78=2x+3 | | -3.2x=15 | | 3=0.25(8)+b | | 0.25(12-8p)=4p-9 | | 2-2x-2i(i+x)=0 | | 17+6c=35 | | =9-8g-4 | | -29d-7=1428 | | 4(-7+5h)= |