If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3t(t + -5) + 10 + 2(t + -2) = 0 Reorder the terms: 3t(-5 + t) + 10 + 2(t + -2) = 0 (-5 * 3t + t * 3t) + 10 + 2(t + -2) = 0 (-15t + 3t2) + 10 + 2(t + -2) = 0 Reorder the terms: -15t + 3t2 + 10 + 2(-2 + t) = 0 -15t + 3t2 + 10 + (-2 * 2 + t * 2) = 0 -15t + 3t2 + 10 + (-4 + 2t) = 0 Reorder the terms: 10 + -4 + -15t + 2t + 3t2 = 0 Combine like terms: 10 + -4 = 6 6 + -15t + 2t + 3t2 = 0 Combine like terms: -15t + 2t = -13t 6 + -13t + 3t2 = 0 Solving 6 + -13t + 3t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2 + -4.333333333t + t2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -4.333333333t + -2 + t2 = 0 + -2 Reorder the terms: 2 + -2 + -4.333333333t + t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4.333333333t + t2 = 0 + -2 -4.333333333t + t2 = 0 + -2 Combine like terms: 0 + -2 = -2 -4.333333333t + t2 = -2 The t term is -4.333333333t. Take half its coefficient (-2.166666667). Square it (4.694444446) and add it to both sides. Add '4.694444446' to each side of the equation. -4.333333333t + 4.694444446 + t2 = -2 + 4.694444446 Reorder the terms: 4.694444446 + -4.333333333t + t2 = -2 + 4.694444446 Combine like terms: -2 + 4.694444446 = 2.694444446 4.694444446 + -4.333333333t + t2 = 2.694444446 Factor a perfect square on the left side: (t + -2.166666667)(t + -2.166666667) = 2.694444446 Calculate the square root of the right side: 1.641476301 Break this problem into two subproblems by setting (t + -2.166666667) equal to 1.641476301 and -1.641476301.Subproblem 1
t + -2.166666667 = 1.641476301 Simplifying t + -2.166666667 = 1.641476301 Reorder the terms: -2.166666667 + t = 1.641476301 Solving -2.166666667 + t = 1.641476301 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.166666667' to each side of the equation. -2.166666667 + 2.166666667 + t = 1.641476301 + 2.166666667 Combine like terms: -2.166666667 + 2.166666667 = 0.000000000 0.000000000 + t = 1.641476301 + 2.166666667 t = 1.641476301 + 2.166666667 Combine like terms: 1.641476301 + 2.166666667 = 3.808142968 t = 3.808142968 Simplifying t = 3.808142968Subproblem 2
t + -2.166666667 = -1.641476301 Simplifying t + -2.166666667 = -1.641476301 Reorder the terms: -2.166666667 + t = -1.641476301 Solving -2.166666667 + t = -1.641476301 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.166666667' to each side of the equation. -2.166666667 + 2.166666667 + t = -1.641476301 + 2.166666667 Combine like terms: -2.166666667 + 2.166666667 = 0.000000000 0.000000000 + t = -1.641476301 + 2.166666667 t = -1.641476301 + 2.166666667 Combine like terms: -1.641476301 + 2.166666667 = 0.525190366 t = 0.525190366 Simplifying t = 0.525190366Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.808142968, 0.525190366}
| 7t=10t-15 | | 9+10x=81x | | (4y-7)(8+y)=0 | | x+23+3x=-31-3x-37 | | 50=5(2p+3) | | -31=-7y+5(y-7) | | 4x^2-44=1843 | | 2x+-5y=1 | | x^2=65 | | 3(m+2)=2m+3 | | -3(4-2n)=18 | | X^2=-2 | | 9r+21=156 | | 60=6(4-2d) | | 6y+87=147 | | 3b+6=36 | | x^2+12x-35=0 | | 214=6n+16 | | 6x+7=7+6x | | 3x-4=7x+8 | | 27-9x=24-x | | -8x+5=3 | | 7=a+4 | | 4*6= | | x^2-x-20=o | | -13x-20=-12x+40 | | 0.5(x+1+x+2)x=10 | | 4(7+2r)=92 | | 8r+10=14 | | x(2x+3)=20 | | 4y=13+2y | | 0x=45 |