If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6 = -16t2 + 30t Reorder the terms: 6 = 30t + -16t2 Solving 6 = 30t + -16t2 Solving for variable 't'. Reorder the terms: 6 + -30t + 16t2 = 30t + -30t + -16t2 + 16t2 Combine like terms: 30t + -30t = 0 6 + -30t + 16t2 = 0 + -16t2 + 16t2 6 + -30t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 6 + -30t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -15t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -15t + 8t2)' equal to zero and attempt to solve: Simplifying 3 + -15t + 8t2 = 0 Solving 3 + -15t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.375 + -1.875t + t2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + -1.875t + -0.375 + t2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + -1.875t + t2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + -1.875t + t2 = 0 + -0.375 -1.875t + t2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 -1.875t + t2 = -0.375 The t term is -1.875t. Take half its coefficient (-0.9375). Square it (0.87890625) and add it to both sides. Add '0.87890625' to each side of the equation. -1.875t + 0.87890625 + t2 = -0.375 + 0.87890625 Reorder the terms: 0.87890625 + -1.875t + t2 = -0.375 + 0.87890625 Combine like terms: -0.375 + 0.87890625 = 0.50390625 0.87890625 + -1.875t + t2 = 0.50390625 Factor a perfect square on the left side: (t + -0.9375)(t + -0.9375) = 0.50390625 Calculate the square root of the right side: 0.709863543 Break this problem into two subproblems by setting (t + -0.9375) equal to 0.709863543 and -0.709863543.Subproblem 1
t + -0.9375 = 0.709863543 Simplifying t + -0.9375 = 0.709863543 Reorder the terms: -0.9375 + t = 0.709863543 Solving -0.9375 + t = 0.709863543 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.9375' to each side of the equation. -0.9375 + 0.9375 + t = 0.709863543 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + t = 0.709863543 + 0.9375 t = 0.709863543 + 0.9375 Combine like terms: 0.709863543 + 0.9375 = 1.647363543 t = 1.647363543 Simplifying t = 1.647363543Subproblem 2
t + -0.9375 = -0.709863543 Simplifying t + -0.9375 = -0.709863543 Reorder the terms: -0.9375 + t = -0.709863543 Solving -0.9375 + t = -0.709863543 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.9375' to each side of the equation. -0.9375 + 0.9375 + t = -0.709863543 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + t = -0.709863543 + 0.9375 t = -0.709863543 + 0.9375 Combine like terms: -0.709863543 + 0.9375 = 0.227636457 t = 0.227636457 Simplifying t = 0.227636457Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.647363543, 0.227636457}Solution
t = {1.647363543, 0.227636457}
| (68+145)+(98+87+52)= | | 8x-8=8(x+1) | | y=3(2a+3b) | | Y=6x+x^2+10 | | 2x^4-x^2+-3=0 | | (85-35)+(62+85-16)= | | (7/4x)+(-5/2y) | | (3a^5/6)(8a^2/3) | | 62*12*3*5+16-12= | | -3/8m=-12 | | 1+(-7)+8=x | | 9x^4+-25=0 | | 4/7r=8 | | 45r^2-20= | | (6x-11)-(2x+9)= | | 62*12*3*5+16-2= | | -276=6(6x-10) | | -37z=148 | | x+x+x=24 | | 156+35+3+8+64-13= | | 4w+10=6w | | -4(x+6)=-3(x-4)-5x | | 5x-(3x+8)=10 | | 2x^4+-16x=0 | | 1+x=8 | | 17500+550x=220650 | | 320/700= | | 4x^2-27x+10=0 | | 16x^2+16x-96=576 | | 45=-35-10x | | 7x^2=19x+6 | | 100x-7y=-45 |