If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -15(t2 + -10t + 5) = 0 Reorder the terms: -15(5 + -10t + t2) = 0 (5 * -15 + -10t * -15 + t2 * -15) = 0 (-75 + 150t + -15t2) = 0 Solving -75 + 150t + -15t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '15'. 15(-5 + 10t + -1t2) = 0 Ignore the factor 15.Subproblem 1
Set the factor '(-5 + 10t + -1t2)' equal to zero and attempt to solve: Simplifying -5 + 10t + -1t2 = 0 Solving -5 + 10t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 5 + -10t + t2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -10t + -5 + t2 = 0 + -5 Reorder the terms: 5 + -5 + -10t + t2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -10t + t2 = 0 + -5 -10t + t2 = 0 + -5 Combine like terms: 0 + -5 = -5 -10t + t2 = -5 The t term is -10t. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10t + 25 + t2 = -5 + 25 Reorder the terms: 25 + -10t + t2 = -5 + 25 Combine like terms: -5 + 25 = 20 25 + -10t + t2 = 20 Factor a perfect square on the left side: (t + -5)(t + -5) = 20 Calculate the square root of the right side: 4.472135955 Break this problem into two subproblems by setting (t + -5) equal to 4.472135955 and -4.472135955.Subproblem 1
t + -5 = 4.472135955 Simplifying t + -5 = 4.472135955 Reorder the terms: -5 + t = 4.472135955 Solving -5 + t = 4.472135955 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + t = 4.472135955 + 5 Combine like terms: -5 + 5 = 0 0 + t = 4.472135955 + 5 t = 4.472135955 + 5 Combine like terms: 4.472135955 + 5 = 9.472135955 t = 9.472135955 Simplifying t = 9.472135955Subproblem 2
t + -5 = -4.472135955 Simplifying t + -5 = -4.472135955 Reorder the terms: -5 + t = -4.472135955 Solving -5 + t = -4.472135955 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + t = -4.472135955 + 5 Combine like terms: -5 + 5 = 0 0 + t = -4.472135955 + 5 t = -4.472135955 + 5 Combine like terms: -4.472135955 + 5 = 0.527864045 t = 0.527864045 Simplifying t = 0.527864045Solution
The solution to the problem is based on the solutions from the subproblems. t = {9.472135955, 0.527864045}Solution
t = {9.472135955, 0.527864045}
| 4x+3=3x-1 | | 0.6x+180=0.65x-205 | | 4.9x+3=4x+9 | | 5x-152=0 | | 8(0)-9y=30 | | -7y-4=3y^2 | | 2u^2-2=3u | | -15(t^2-10t+16)=0 | | 5v^2+8v=-3 | | 0.8z+2.4+0.1=1z-1.5 | | -3(2x+7)+(6-5x)-8(1-2x)=(x-3) | | 14=x-2 | | x^2+-16x=-48 | | 6(4z-1)-2(z+6)=15(z+1) | | 13x+15y=720 | | 6x+74=10x-14 | | -4x^2-56x-180=0 | | 73-5x=4x+20 | | 4x^2+72x+260=0 | | 5+4(3x-2)=21 | | 5x+10+20=180 | | 218-7x=38x+18 | | 7(18-x)=6(3-5x)-(7x+21)-3(2x+5) | | 4x=x+78 | | -3x^2+36x-96=0 | | -23-3x=14-7x | | 2x+4=90 | | 3x-4=180 | | 20+4(w-5)=5-2w | | 30-7x=5 | | (x-5)=42 | | -10(x+1)+2=-x+10 |