If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10t(t + -4) + 4t = 7(2t + 2) + -13 Reorder the terms: 10t(-4 + t) + 4t = 7(2t + 2) + -13 (-4 * 10t + t * 10t) + 4t = 7(2t + 2) + -13 (-40t + 10t2) + 4t = 7(2t + 2) + -13 Reorder the terms: -40t + 4t + 10t2 = 7(2t + 2) + -13 Combine like terms: -40t + 4t = -36t -36t + 10t2 = 7(2t + 2) + -13 Reorder the terms: -36t + 10t2 = 7(2 + 2t) + -13 -36t + 10t2 = (2 * 7 + 2t * 7) + -13 -36t + 10t2 = (14 + 14t) + -13 Reorder the terms: -36t + 10t2 = 14 + -13 + 14t Combine like terms: 14 + -13 = 1 -36t + 10t2 = 1 + 14t Solving -36t + 10t2 = 1 + 14t Solving for variable 't'. Reorder the terms: -1 + -36t + -14t + 10t2 = 1 + 14t + -1 + -14t Combine like terms: -36t + -14t = -50t -1 + -50t + 10t2 = 1 + 14t + -1 + -14t Reorder the terms: -1 + -50t + 10t2 = 1 + -1 + 14t + -14t Combine like terms: 1 + -1 = 0 -1 + -50t + 10t2 = 0 + 14t + -14t -1 + -50t + 10t2 = 14t + -14t Combine like terms: 14t + -14t = 0 -1 + -50t + 10t2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. -0.1 + -5t + t2 = 0 Move the constant term to the right: Add '0.1' to each side of the equation. -0.1 + -5t + 0.1 + t2 = 0 + 0.1 Reorder the terms: -0.1 + 0.1 + -5t + t2 = 0 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + -5t + t2 = 0 + 0.1 -5t + t2 = 0 + 0.1 Combine like terms: 0 + 0.1 = 0.1 -5t + t2 = 0.1 The t term is -5t. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5t + 6.25 + t2 = 0.1 + 6.25 Reorder the terms: 6.25 + -5t + t2 = 0.1 + 6.25 Combine like terms: 0.1 + 6.25 = 6.35 6.25 + -5t + t2 = 6.35 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = 6.35 Calculate the square root of the right side: 2.519920634 Break this problem into two subproblems by setting (t + -2.5) equal to 2.519920634 and -2.519920634.Subproblem 1
t + -2.5 = 2.519920634 Simplifying t + -2.5 = 2.519920634 Reorder the terms: -2.5 + t = 2.519920634 Solving -2.5 + t = 2.519920634 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + t = 2.519920634 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = 2.519920634 + 2.5 t = 2.519920634 + 2.5 Combine like terms: 2.519920634 + 2.5 = 5.019920634 t = 5.019920634 Simplifying t = 5.019920634Subproblem 2
t + -2.5 = -2.519920634 Simplifying t + -2.5 = -2.519920634 Reorder the terms: -2.5 + t = -2.519920634 Solving -2.5 + t = -2.519920634 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + t = -2.519920634 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = -2.519920634 + 2.5 t = -2.519920634 + 2.5 Combine like terms: -2.519920634 + 2.5 = -0.019920634 t = -0.019920634 Simplifying t = -0.019920634Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.019920634, -0.019920634}
| 6x-3x=5x-10x+12 | | -3x+1=-2(3x+7) | | 6x-3x=5x+10x-12 | | (x^2-6x)/x+15 | | 2.5/3.5=10/x | | 6x-3x=5x+10x+12 | | 1x=7+0.5x | | 1/3(j+1)=1/6(3j-5) | | x-2-x+2+1=0 | | X=7+0.5x | | 9k+12=3k | | .2(10x+20)= | | 6x+3k=1/4+12b | | 6a^2-a=5 | | 8(x+4)-6(9x-6)=15 | | 8-(x+2)=5(x-1) | | 7(y-2)=4y-23 | | 7x-8=12+4x | | 6a^2-a-5=0 | | 3x/20+(-x/20) | | 7x-7-4x-2x+12=8-3 | | 7-5(x+4)=-4(x+1)+(x-7) | | 4x-2(x-6)=2(x+1)+3 | | 1/3x^2-11x-4=0 | | -3x+5=6x-2 | | 2y-8-6y=-4y-6-2 | | (13m^4+2)+(m^4*n^2+2-2m^4)-(-13m^2*n^3+5m^4)= | | 9-3x=15+3x | | -7x+5x+20-10x= | | a/2+a/3+a/4=13 | | 7+5(4c-1)= | | 3(3-x)+1=31 |