If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 80t + 150 = 0 Reorder the terms: 150 + 80t + -16t2 = 0 Solving 150 + 80t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(75 + 40t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(75 + 40t + -8t2)' equal to zero and attempt to solve: Simplifying 75 + 40t + -8t2 = 0 Solving 75 + 40t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -9.375 + -5t + t2 = 0 Move the constant term to the right: Add '9.375' to each side of the equation. -9.375 + -5t + 9.375 + t2 = 0 + 9.375 Reorder the terms: -9.375 + 9.375 + -5t + t2 = 0 + 9.375 Combine like terms: -9.375 + 9.375 = 0.000 0.000 + -5t + t2 = 0 + 9.375 -5t + t2 = 0 + 9.375 Combine like terms: 0 + 9.375 = 9.375 -5t + t2 = 9.375 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 = 9.375 + 6.25 Reorder the terms: 6.25 + -5t + t2 = 9.375 + 6.25 Combine like terms: 9.375 + 6.25 = 15.625 6.25 + -5t + t2 = 15.625 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = 15.625 Calculate the square root of the right side: 3.952847075 Break this problem into two subproblems by setting (t + -2.5) equal to 3.952847075 and -3.952847075.Subproblem 1
t + -2.5 = 3.952847075 Simplifying t + -2.5 = 3.952847075 Reorder the terms: -2.5 + t = 3.952847075 Solving -2.5 + t = 3.952847075 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 = 3.952847075 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = 3.952847075 + 2.5 t = 3.952847075 + 2.5 Combine like terms: 3.952847075 + 2.5 = 6.452847075 t = 6.452847075 Simplifying t = 6.452847075Subproblem 2
t + -2.5 = -3.952847075 Simplifying t + -2.5 = -3.952847075 Reorder the terms: -2.5 + t = -3.952847075 Solving -2.5 + t = -3.952847075 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 = -3.952847075 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = -3.952847075 + 2.5 t = -3.952847075 + 2.5 Combine like terms: -3.952847075 + 2.5 = -1.452847075 t = -1.452847075 Simplifying t = -1.452847075Solution
The solution to the problem is based on the solutions from the subproblems. t = {6.452847075, -1.452847075}Solution
t = {6.452847075, -1.452847075}
| -2y-8=-10 | | 9*2+9= | | 9x-2y=-13 | | 5m*6=8m+9 | | 10k-13=67 | | X-1/37 | | x/-4-2=4 | | 3(9x+15)-4=3x-1 | | 2(2.75+-.75)-2y=-12 | | (X^3)=x+0.2 | | 9ab+9cd=x | | -1x+2y=-20 | | t+3(t-2)=10 | | 7p^2+6p+45= | | 9ab+9cd= | | 4*2/-4 | | 1=x/7-9 | | 2(2x+5)=14x+6 | | 4m-(5m-m)=35 | | 100+4x-35=7x+42-5x | | (13g)(4g+7)= | | (11)+2-2=22 | | 4b^2-20b-4=0 | | -5+2x=3x+6 | | 3(n-1)-2+4n=4(n-4)-(n-11) | | 5a^2*2a= | | 10+3x=5x-6 | | -3(12x+4)=-36 | | 6a-(a-1)=11 | | 3x+2y+5x-4y= | | 26=2x+3+6x+5 | | 15x-10=10x+10 |