If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16t2 + 18t + -24 = 0 Reorder the terms: -24 + 18t + 16t2 = 0 Solving -24 + 18t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 9t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + 9t + 8t2)' equal to zero and attempt to solve: Simplifying -12 + 9t + 8t2 = 0 Solving -12 + 9t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -1.5 + 1.125t + t2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + 1.125t + 1.5 + t2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + 1.125t + t2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1.125t + t2 = 0 + 1.5 1.125t + t2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 1.125t + t2 = 1.5 The t term is 1.125t. Take half its coefficient (0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. 1.125t + 0.31640625 + t2 = 1.5 + 0.31640625 Reorder the terms: 0.31640625 + 1.125t + t2 = 1.5 + 0.31640625 Combine like terms: 1.5 + 0.31640625 = 1.81640625 0.31640625 + 1.125t + t2 = 1.81640625 Factor a perfect square on the left side: (t + 0.5625)(t + 0.5625) = 1.81640625 Calculate the square root of the right side: 1.347741166 Break this problem into two subproblems by setting (t + 0.5625) equal to 1.347741166 and -1.347741166.Subproblem 1
t + 0.5625 = 1.347741166 Simplifying t + 0.5625 = 1.347741166 Reorder the terms: 0.5625 + t = 1.347741166 Solving 0.5625 + t = 1.347741166 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5625' to each side of the equation. 0.5625 + -0.5625 + t = 1.347741166 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + t = 1.347741166 + -0.5625 t = 1.347741166 + -0.5625 Combine like terms: 1.347741166 + -0.5625 = 0.785241166 t = 0.785241166 Simplifying t = 0.785241166Subproblem 2
t + 0.5625 = -1.347741166 Simplifying t + 0.5625 = -1.347741166 Reorder the terms: 0.5625 + t = -1.347741166 Solving 0.5625 + t = -1.347741166 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5625' to each side of the equation. 0.5625 + -0.5625 + t = -1.347741166 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + t = -1.347741166 + -0.5625 t = -1.347741166 + -0.5625 Combine like terms: -1.347741166 + -0.5625 = -1.910241166 t = -1.910241166 Simplifying t = -1.910241166Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.785241166, -1.910241166}Solution
t = {0.785241166, -1.910241166}
| 8=g-12 | | -11-5m=6(5m+4) | | 8x+1-3x-3=12 | | 10h+7+9=68.50 | | 8x+1-3x-3=0 | | -5(4m-2)=-2(3+6m) | | 3X+15=136 | | (6x)2-8x-30=0 | | 2x^2+2x-112=0 | | 8(4m-4)=-5m-32 | | 20x^2+13+2=0 | | 60000=x-.25x-.15x | | 15m=27 | | 3x^5=126 | | r-11/3=5 | | (2wz^2-2z)dw+(3w^2z-4w)x=0 | | 0.15d+0.07(100-d)=130 | | Y=ln(4x-7) | | 2x^2+2x-28=0 | | 3+2(7p-2)-(p+2)= | | (-4-5)= | | 81y=9 | | (5-9)= | | -4m-8(1+7m)=52 | | 2=1.5*4+b | | 3(g+h)=12 | | -(3x-3)+6x= | | cot(2x-30)=tan(3x+10) | | 6+2x=5x-10 | | 16a+4b=12 | | 0.75(x-4)=9 | | 6-x=2(x-3) |