If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 15t4 + -20t3 + -180t2 = 0 Reorder the terms: -180t2 + -20t3 + 15t4 = 0 Solving -180t2 + -20t3 + 15t4 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5t2'. 5t2(-36 + -4t + 3t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 't2' equal to zero and attempt to solve: Simplifying t2 = 0 Solving t2 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t2 = 0 Take the square root of each side: t = {0}Subproblem 2
Set the factor '(-36 + -4t + 3t2)' equal to zero and attempt to solve: Simplifying -36 + -4t + 3t2 = 0 Solving -36 + -4t + 3t2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -12 + -1.333333333t + t2 = 0 Move the constant term to the right: Add '12' to each side of the equation. -12 + -1.333333333t + 12 + t2 = 0 + 12 Reorder the terms: -12 + 12 + -1.333333333t + t2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1.333333333t + t2 = 0 + 12 -1.333333333t + t2 = 0 + 12 Combine like terms: 0 + 12 = 12 -1.333333333t + t2 = 12 The t term is -1.333333333t. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333t + 0.4444444442 + t2 = 12 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333t + t2 = 12 + 0.4444444442 Combine like terms: 12 + 0.4444444442 = 12.4444444442 0.4444444442 + -1.333333333t + t2 = 12.4444444442 Factor a perfect square on the left side: (t + -0.6666666665)(t + -0.6666666665) = 12.4444444442 Calculate the square root of the right side: 3.527668415 Break this problem into two subproblems by setting (t + -0.6666666665) equal to 3.527668415 and -3.527668415.Subproblem 1
t + -0.6666666665 = 3.527668415 Simplifying t + -0.6666666665 = 3.527668415 Reorder the terms: -0.6666666665 + t = 3.527668415 Solving -0.6666666665 + t = 3.527668415 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.6666666665' to each side of the equation. -0.6666666665 + 0.6666666665 + t = 3.527668415 + 0.6666666665 Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000 0.0000000000 + t = 3.527668415 + 0.6666666665 t = 3.527668415 + 0.6666666665 Combine like terms: 3.527668415 + 0.6666666665 = 4.1943350815 t = 4.1943350815 Simplifying t = 4.1943350815Subproblem 2
t + -0.6666666665 = -3.527668415 Simplifying t + -0.6666666665 = -3.527668415 Reorder the terms: -0.6666666665 + t = -3.527668415 Solving -0.6666666665 + t = -3.527668415 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.6666666665' to each side of the equation. -0.6666666665 + 0.6666666665 + t = -3.527668415 + 0.6666666665 Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000 0.0000000000 + t = -3.527668415 + 0.6666666665 t = -3.527668415 + 0.6666666665 Combine like terms: -3.527668415 + 0.6666666665 = -2.8610017485 t = -2.8610017485 Simplifying t = -2.8610017485Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.1943350815, -2.8610017485}Solution
t = {0, 4.1943350815, -2.8610017485}
| 200-10%=x | | yz+5zy= | | 2(3-5x)whenx=3 | | 11d-d= | | 3(y+1)(-y-8)=0 | | 0.40x-20(50+x)=0.04(50) | | q-3q= | | d+11d= | | 2(2x-3)+5=10 | | ln(3x)+ln(5+x)=1 | | 2x*4=3 | | 34x*46=26 | | =(5x+4)+(3x+2)+(2x+4) | | =(5x+4)+(3x+2) | | 3t+18-7=21 | | 8z-2-7x=0 | | 0.5t=0.6+0.8t | | 4.7n-6=3.7n-6 | | 0.08(x+7)=0.04(2x+5)+0.36 | | 4(7b+2)=148 | | 8(4-m)=88 | | -9p+10=163 | | -125=3-8a | | 38=-6n+8 | | 11-4d=72 | | 11-6x=14+x | | 12.4(2x+1)=5x+3x+9 | | -21=9y^2+48y | | -x/8=-2 | | -3x^2+36x-81=0 | | 3x^3+9x^2-30x=0 | | 5x^2+90x+400=0 |