If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + -10t + 30 = 0 Reorder the terms: 30 + -10t + -16t2 = 0 Solving 30 + -10t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -5t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -5t + -8t2)' equal to zero and attempt to solve: Simplifying 15 + -5t + -8t2 = 0 Solving 15 + -5t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -1.875 + 0.625t + t2 = 0 Move the constant term to the right: Add '1.875' to each side of the equation. -1.875 + 0.625t + 1.875 + t2 = 0 + 1.875 Reorder the terms: -1.875 + 1.875 + 0.625t + t2 = 0 + 1.875 Combine like terms: -1.875 + 1.875 = 0.000 0.000 + 0.625t + t2 = 0 + 1.875 0.625t + t2 = 0 + 1.875 Combine like terms: 0 + 1.875 = 1.875 0.625t + t2 = 1.875 The t term is 0.625t. Take half its coefficient (0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. 0.625t + 0.09765625 + t2 = 1.875 + 0.09765625 Reorder the terms: 0.09765625 + 0.625t + t2 = 1.875 + 0.09765625 Combine like terms: 1.875 + 0.09765625 = 1.97265625 0.09765625 + 0.625t + t2 = 1.97265625 Factor a perfect square on the left side: (t + 0.3125)(t + 0.3125) = 1.97265625 Calculate the square root of the right side: 1.404512816 Break this problem into two subproblems by setting (t + 0.3125) equal to 1.404512816 and -1.404512816.Subproblem 1
t + 0.3125 = 1.404512816 Simplifying t + 0.3125 = 1.404512816 Reorder the terms: 0.3125 + t = 1.404512816 Solving 0.3125 + t = 1.404512816 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.3125' to each side of the equation. 0.3125 + -0.3125 + t = 1.404512816 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + t = 1.404512816 + -0.3125 t = 1.404512816 + -0.3125 Combine like terms: 1.404512816 + -0.3125 = 1.092012816 t = 1.092012816 Simplifying t = 1.092012816Subproblem 2
t + 0.3125 = -1.404512816 Simplifying t + 0.3125 = -1.404512816 Reorder the terms: 0.3125 + t = -1.404512816 Solving 0.3125 + t = -1.404512816 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.3125' to each side of the equation. 0.3125 + -0.3125 + t = -1.404512816 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + t = -1.404512816 + -0.3125 t = -1.404512816 + -0.3125 Combine like terms: -1.404512816 + -0.3125 = -1.717012816 t = -1.717012816 Simplifying t = -1.717012816Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.092012816, -1.717012816}Solution
t = {1.092012816, -1.717012816}
| 9y-12y+-10=20 | | 1-5x=2x+3 | | 56+4x+112=180 | | 0.14(y-8)+0.20y=0.16y-0.4 | | 3y+60=6y+12 | | 3(3x-6)=15 | | 4x+112=56 | | 8(x-3)-3=-27 | | 3y+60=8y-14 | | 19.43=3.4(s+1.4)+3.45 | | 3y+60=7y+26 | | 14m^2-28m=0 | | -10.28+1.5f=3.4f+19.55 | | 9h^2-6h-1=0 | | 28x+50=134 | | 2x(x-3)=30 | | 9.1c-1.35=10.3c+15.93 | | 6a^2x^2-11x=10 | | 13x+19=84 | | 3*x+2*y+4*z=60 | | 13y-4y+3=12 | | 7=3(d+16)-8 | | 17x=4-12y | | 4r+2r+9r-8= | | X-(x+4)(x-2)=8+(x+5) | | (4x)+(99)=180 | | 3z+6z= | | 2.08(u-8)2.2=18.84 | | -x=76-12y | | 52+5x+18=90 | | 2x+2xy=2y+x^2 | | 7(t-4)+8t=5(3t+2)-8 |