If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 112t + 144 = 0 Reorder the terms: 144 + 112t + -16t2 = 0 Solving 144 + 112t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16'. 16(9 + 7t + -1t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(9 + 7t + -1t2)' equal to zero and attempt to solve: Simplifying 9 + 7t + -1t2 = 0 Solving 9 + 7t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -9 + -7t + t2 = 0 Move the constant term to the right: Add '9' to each side of the equation. -9 + -7t + 9 + t2 = 0 + 9 Reorder the terms: -9 + 9 + -7t + t2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7t + t2 = 0 + 9 -7t + t2 = 0 + 9 Combine like terms: 0 + 9 = 9 -7t + t2 = 9 The t term is -7t. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7t + 12.25 + t2 = 9 + 12.25 Reorder the terms: 12.25 + -7t + t2 = 9 + 12.25 Combine like terms: 9 + 12.25 = 21.25 12.25 + -7t + t2 = 21.25 Factor a perfect square on the left side: (t + -3.5)(t + -3.5) = 21.25 Calculate the square root of the right side: 4.609772229 Break this problem into two subproblems by setting (t + -3.5) equal to 4.609772229 and -4.609772229.Subproblem 1
t + -3.5 = 4.609772229 Simplifying t + -3.5 = 4.609772229 Reorder the terms: -3.5 + t = 4.609772229 Solving -3.5 + t = 4.609772229 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + t = 4.609772229 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + t = 4.609772229 + 3.5 t = 4.609772229 + 3.5 Combine like terms: 4.609772229 + 3.5 = 8.109772229 t = 8.109772229 Simplifying t = 8.109772229Subproblem 2
t + -3.5 = -4.609772229 Simplifying t + -3.5 = -4.609772229 Reorder the terms: -3.5 + t = -4.609772229 Solving -3.5 + t = -4.609772229 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + t = -4.609772229 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + t = -4.609772229 + 3.5 t = -4.609772229 + 3.5 Combine like terms: -4.609772229 + 3.5 = -1.109772229 t = -1.109772229 Simplifying t = -1.109772229Solution
The solution to the problem is based on the solutions from the subproblems. t = {8.109772229, -1.109772229}Solution
t = {8.109772229, -1.109772229}
| -6x=-10+2x | | -16c+7c+19c+-7c-10c=7 | | -2x-6=-6x-3 | | 9v+2v+5v-14v=12 | | 57+68x=45-12x | | 5sin^2*x-7cosx+1=0 | | x^3-108x^2=45 | | 9a+5a-10a-3a=11 | | 250=153-w | | y=10*cos*.5x | | 2w+w+4w+2w-5w=16 | | 3000-120a=4000-160a | | 10=w-8 | | 7x+9=3(3x+7) | | -[7-(5x-3)]-x=-3(x-1)+2x+2 | | 5sinx^2-7cosx=0 | | 7x+2(x-6)=3(x+4) | | 2y=2x+14 | | 2x-2[3+2(x-1)]=-4 | | 3000-120a=1500 | | 11x-11x+x+x+2=16 | | 5sin^2*x-7cos*x=0 | | 3x^2=2x+7 | | 3(3x-2)=2(3x+9) | | 2x+y=144 | | 4000-160a=2500 | | 5sin^2*x-7cosx=0 | | 10c-7c-c=16 | | 3(5x+7)=4x+43 | | 13w-12w-1=15 | | -[2x+3(x-2)]=-5-(-3-x) | | 5x-3=7-5x |