If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -2t2 + 48t = -22 Reorder the terms: 48t + -2t2 = -22 Solving 48t + -2t2 = -22 Solving for variable 't'. Reorder the terms: 22 + 48t + -2t2 = -22 + 22 Combine like terms: -22 + 22 = 0 22 + 48t + -2t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(11 + 24t + -1t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + 24t + -1t2)' equal to zero and attempt to solve: Simplifying 11 + 24t + -1t2 = 0 Solving 11 + 24t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -11 + -24t + t2 = 0 Move the constant term to the right: Add '11' to each side of the equation. -11 + -24t + 11 + t2 = 0 + 11 Reorder the terms: -11 + 11 + -24t + t2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -24t + t2 = 0 + 11 -24t + t2 = 0 + 11 Combine like terms: 0 + 11 = 11 -24t + t2 = 11 The t term is -24t. Take half its coefficient (-12). Square it (144) and add it to both sides. Add '144' to each side of the equation. -24t + 144 + t2 = 11 + 144 Reorder the terms: 144 + -24t + t2 = 11 + 144 Combine like terms: 11 + 144 = 155 144 + -24t + t2 = 155 Factor a perfect square on the left side: (t + -12)(t + -12) = 155 Calculate the square root of the right side: 12.449899598 Break this problem into two subproblems by setting (t + -12) equal to 12.449899598 and -12.449899598.Subproblem 1
t + -12 = 12.449899598 Simplifying t + -12 = 12.449899598 Reorder the terms: -12 + t = 12.449899598 Solving -12 + t = 12.449899598 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + t = 12.449899598 + 12 Combine like terms: -12 + 12 = 0 0 + t = 12.449899598 + 12 t = 12.449899598 + 12 Combine like terms: 12.449899598 + 12 = 24.449899598 t = 24.449899598 Simplifying t = 24.449899598Subproblem 2
t + -12 = -12.449899598 Simplifying t + -12 = -12.449899598 Reorder the terms: -12 + t = -12.449899598 Solving -12 + t = -12.449899598 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + t = -12.449899598 + 12 Combine like terms: -12 + 12 = 0 0 + t = -12.449899598 + 12 t = -12.449899598 + 12 Combine like terms: -12.449899598 + 12 = -0.449899598 t = -0.449899598 Simplifying t = -0.449899598Solution
The solution to the problem is based on the solutions from the subproblems. t = {24.449899598, -0.449899598}Solution
t = {24.449899598, -0.449899598}
| 1/3x-16=2 | | 8x+4=32+2x | | r^2+18r=-43 | | 42=3p+20 | | b^2-14b-56=0 | | 12x-8=37 | | v^2-2v-33=0 | | 3/4-0,2.3/2-13/5 | | z-4/16=7 | | 4y-64=2y-13 | | -3m^2-36m-21=0 | | 11x-151=5x-7 | | 4-d/14=-24 | | 8-5e=21 | | u^2-26u+27=0 | | 3p+6=153 | | z^2+4z=39 | | -2k^2+4k=-2 | | 4(1-2x)=45 | | -2/9-(-7/6) | | X^2+37X-1100=0 | | 6x+9y=4 | | x^2+20x=-33 | | 5(x+1)=3(2x-4) | | 20x=3.25 | | 54/14 | | 18x=12x+30 | | 3n-wn=n | | 26n-23=-20 | | 9y-2=4y+24 | | s^2+8s-11=0 | | 3f+4+2f+3=12 |