If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 24t + 900 = 0 Reorder the terms: 900 + 24t + -16t2 = 0 Solving 900 + 24t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4'. 4(225 + 6t + -4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(225 + 6t + -4t2)' equal to zero and attempt to solve: Simplifying 225 + 6t + -4t2 = 0 Solving 225 + 6t + -4t2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -56.25 + -1.5t + t2 = 0 Move the constant term to the right: Add '56.25' to each side of the equation. -56.25 + -1.5t + 56.25 + t2 = 0 + 56.25 Reorder the terms: -56.25 + 56.25 + -1.5t + t2 = 0 + 56.25 Combine like terms: -56.25 + 56.25 = 0.00 0.00 + -1.5t + t2 = 0 + 56.25 -1.5t + t2 = 0 + 56.25 Combine like terms: 0 + 56.25 = 56.25 -1.5t + t2 = 56.25 The t term is -1.5t. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5t + 0.5625 + t2 = 56.25 + 0.5625 Reorder the terms: 0.5625 + -1.5t + t2 = 56.25 + 0.5625 Combine like terms: 56.25 + 0.5625 = 56.8125 0.5625 + -1.5t + t2 = 56.8125 Factor a perfect square on the left side: (t + -0.75)(t + -0.75) = 56.8125 Calculate the square root of the right side: 7.537406716 Break this problem into two subproblems by setting (t + -0.75) equal to 7.537406716 and -7.537406716.Subproblem 1
t + -0.75 = 7.537406716 Simplifying t + -0.75 = 7.537406716 Reorder the terms: -0.75 + t = 7.537406716 Solving -0.75 + t = 7.537406716 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + t = 7.537406716 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + t = 7.537406716 + 0.75 t = 7.537406716 + 0.75 Combine like terms: 7.537406716 + 0.75 = 8.287406716 t = 8.287406716 Simplifying t = 8.287406716Subproblem 2
t + -0.75 = -7.537406716 Simplifying t + -0.75 = -7.537406716 Reorder the terms: -0.75 + t = -7.537406716 Solving -0.75 + t = -7.537406716 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + t = -7.537406716 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + t = -7.537406716 + 0.75 t = -7.537406716 + 0.75 Combine like terms: -7.537406716 + 0.75 = -6.787406716 t = -6.787406716 Simplifying t = -6.787406716Solution
The solution to the problem is based on the solutions from the subproblems. t = {8.287406716, -6.787406716}Solution
t = {8.287406716, -6.787406716}
| 3x+6=6x+42 | | a+489.50=756.80 | | (5x^2-4)1/4=x | | -6.8(3y+5)-2.2(4y-6)= | | 7-x=5x+55 | | 2x/12=-15 | | -15y=9 | | 1inch=1.3miles | | 4x/12=-15 | | 4(3b-2)+(6-3)=4 | | -7x-2x-81=-108 | | -3y=(9/5) | | 4.905x^2+15x-90=0 | | 7y-5+2(2y+1)=-3(y+7) | | 100[0.9(z+10)]= | | -3x+4x+17=-34 | | 3(2a+4)+2(a+3)=10 | | 1/2(52) | | 4x/a=1/16 | | 1-5n=51 | | 3x(-4)=5(x+2) | | 3(2a+4)+(a+3)=10 | | c=0.08x+9.75 | | 6(x-3)+82=2x | | 35x+5y=-15 | | 3y=(9/5) | | 3/10x-3x | | 98xbc+214xbc= | | -9(7x+11)+4=(-725) | | 5/6÷1/3 | | 10x-3x+21=-28 | | 2(5x+7)+1=(-5) |