If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -16t2 + -52t + 160 Reorder the terms: 0 = 160 + -52t + -16t2 Solving 0 = 160 + -52t + -16t2 Solving for variable 't'. Combine like terms: 0 + -160 = -160 -160 + 52t + 16t2 = 160 + -52t + -16t2 + -160 + 52t + 16t2 Reorder the terms: -160 + 52t + 16t2 = 160 + -160 + -52t + 52t + -16t2 + 16t2 Combine like terms: 160 + -160 = 0 -160 + 52t + 16t2 = 0 + -52t + 52t + -16t2 + 16t2 -160 + 52t + 16t2 = -52t + 52t + -16t2 + 16t2 Combine like terms: -52t + 52t = 0 -160 + 52t + 16t2 = 0 + -16t2 + 16t2 -160 + 52t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -160 + 52t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-40 + 13t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-40 + 13t + 4t2)' equal to zero and attempt to solve: Simplifying -40 + 13t + 4t2 = 0 Solving -40 + 13t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -10 + 3.25t + t2 = 0 Move the constant term to the right: Add '10' to each side of the equation. -10 + 3.25t + 10 + t2 = 0 + 10 Reorder the terms: -10 + 10 + 3.25t + t2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3.25t + t2 = 0 + 10 3.25t + t2 = 0 + 10 Combine like terms: 0 + 10 = 10 3.25t + t2 = 10 The t term is 3.25t. Take half its coefficient (1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. 3.25t + 2.640625 + t2 = 10 + 2.640625 Reorder the terms: 2.640625 + 3.25t + t2 = 10 + 2.640625 Combine like terms: 10 + 2.640625 = 12.640625 2.640625 + 3.25t + t2 = 12.640625 Factor a perfect square on the left side: (t + 1.625)(t + 1.625) = 12.640625 Calculate the square root of the right side: 3.555365663 Break this problem into two subproblems by setting (t + 1.625) equal to 3.555365663 and -3.555365663.Subproblem 1
t + 1.625 = 3.555365663 Simplifying t + 1.625 = 3.555365663 Reorder the terms: 1.625 + t = 3.555365663 Solving 1.625 + t = 3.555365663 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.625' to each side of the equation. 1.625 + -1.625 + t = 3.555365663 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + t = 3.555365663 + -1.625 t = 3.555365663 + -1.625 Combine like terms: 3.555365663 + -1.625 = 1.930365663 t = 1.930365663 Simplifying t = 1.930365663Subproblem 2
t + 1.625 = -3.555365663 Simplifying t + 1.625 = -3.555365663 Reorder the terms: 1.625 + t = -3.555365663 Solving 1.625 + t = -3.555365663 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.625' to each side of the equation. 1.625 + -1.625 + t = -3.555365663 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + t = -3.555365663 + -1.625 t = -3.555365663 + -1.625 Combine like terms: -3.555365663 + -1.625 = -5.180365663 t = -5.180365663 Simplifying t = -5.180365663Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.930365663, -5.180365663}Solution
t = {1.930365663, -5.180365663}
| 0=x^2+4x-252 | | 5x+11=-21-3x | | 1n^2+6n+7=0 | | 2x-5=-2x^2-1 | | 1/4(x-3)=3x-11/4 | | 6x4y2/11y2x | | 6+35x=21x+8 | | 2/5x-1=7 | | 11x-12=10x+5 | | 4(5n+3)=10n+2 | | 5(4a-b)-8(5b-7a)= | | 20x-16-19x=0 | | C=-34*6 | | 4x-10=150 | | CoscdUp=y(donc-y)fx | | -7-r=-5 | | 6/18÷6/18 | | (3/4)(4k-1)=(4/3)(3k-2) | | 4-9k=-14 | | 7x-4(9-x)=30 | | -10x+4x+4x-4x-4x-x=-30-3 | | y=-4/3-1 | | -4-9k=-14 | | 2x^2-12x-4=0 | | 70=l(w+3) | | 1.5=3y+15.9 | | 7(x-3)=2(x+7) | | P^2-12p+16=-4 | | 2(x-5)(x+2)=54 | | 5p+7p+10p= | | -0.8x+27=-69 | | 2y+3=1y+31-3y |