If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10t2 + 10t + -84 = 0 Reorder the terms: -84 + 10t + 10t2 = 0 Solving -84 + 10t + 10t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(-42 + 5t + 5t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-42 + 5t + 5t2)' equal to zero and attempt to solve: Simplifying -42 + 5t + 5t2 = 0 Solving -42 + 5t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -8.4 + t + t2 = 0 Move the constant term to the right: Add '8.4' to each side of the equation. -8.4 + t + 8.4 + t2 = 0 + 8.4 Reorder the terms: -8.4 + 8.4 + t + t2 = 0 + 8.4 Combine like terms: -8.4 + 8.4 = 0.0 0.0 + t + t2 = 0 + 8.4 t + t2 = 0 + 8.4 Combine like terms: 0 + 8.4 = 8.4 t + t2 = 8.4 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + t2 = 8.4 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + t2 = 8.4 + 0.25 Combine like terms: 8.4 + 0.25 = 8.65 1.25 + t2 = 8.65 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = 8.65 Calculate the square root of the right side: 2.941088234 Break this problem into two subproblems by setting (t + 0.5) equal to 2.941088234 and -2.941088234.Subproblem 1
t + 0.5 = 2.941088234 Simplifying t + 0.5 = 2.941088234 Reorder the terms: 0.5 + t = 2.941088234 Solving 0.5 + t = 2.941088234 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = 2.941088234 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = 2.941088234 + -0.5 t = 2.941088234 + -0.5 Combine like terms: 2.941088234 + -0.5 = 2.441088234 t = 2.441088234 Simplifying t = 2.441088234Subproblem 2
t + 0.5 = -2.941088234 Simplifying t + 0.5 = -2.941088234 Reorder the terms: 0.5 + t = -2.941088234 Solving 0.5 + t = -2.941088234 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = -2.941088234 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = -2.941088234 + -0.5 t = -2.941088234 + -0.5 Combine like terms: -2.941088234 + -0.5 = -3.441088234 t = -3.441088234 Simplifying t = -3.441088234Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.441088234, -3.441088234}Solution
t = {2.441088234, -3.441088234}
| 5n+yr=r-6g | | X-30/18=26/8 | | (1/2x) | | 35+6y=y | | 25/4=89/d | | b/12-1.8 | | 4+4x(3+1)= | | 2(6-3x)=4x+12 | | cos(4x-P)=2 | | 2(m+4)+3(m+6)= | | 10m+3.5=7 | | cos(4x-pi)=2 | | 3.8(s-10)+4.6=-22 | | 5c+17= | | A+B+17=71 | | 5x-4=7x-4 | | 3b+2=b+14 | | F(x)=-3x^2+9x-6 | | -66=45 | | h(t)=-16t^2+16t+3 | | 12x^2+12x+21=0 | | z^2-10x+x^2=-24 | | z^2-10x+24+x^2=0 | | 7-2x+5x=1x-7 | | 2x-5(5/8) | | 8y-15=20-3y | | sqrt(2x+7)=sqrt(5x-8) | | -1(x-6)=30+5x | | 4y+3x=2.5 | | X-30=4x-6 | | 15-7x=-13 | | -3y+4(y+1)=-2(y-6)+4 |