If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6t2 + -2t + 9 = 15 Reorder the terms: 9 + -2t + 6t2 = 15 Solving 9 + -2t + 6t2 = 15 Solving for variable 't'. Reorder the terms: 9 + -15 + -2t + 6t2 = 15 + -15 Combine like terms: 9 + -15 = -6 -6 + -2t + 6t2 = 15 + -15 Combine like terms: 15 + -15 = 0 -6 + -2t + 6t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -1t + 3t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -1t + 3t2)' equal to zero and attempt to solve: Simplifying -3 + -1t + 3t2 = 0 Solving -3 + -1t + 3t2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -1 + -0.3333333333t + t2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + -0.3333333333t + 1 + t2 = 0 + 1 Reorder the terms: -1 + 1 + -0.3333333333t + t2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -0.3333333333t + t2 = 0 + 1 -0.3333333333t + t2 = 0 + 1 Combine like terms: 0 + 1 = 1 -0.3333333333t + t2 = 1 The t term is -0.3333333333t. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333t + 0.02777777779 + t2 = 1 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333t + t2 = 1 + 0.02777777779 Combine like terms: 1 + 0.02777777779 = 1.02777777779 0.02777777779 + -0.3333333333t + t2 = 1.02777777779 Factor a perfect square on the left side: (t + -0.1666666667)(t + -0.1666666667) = 1.02777777779 Calculate the square root of the right side: 1.013793755 Break this problem into two subproblems by setting (t + -0.1666666667) equal to 1.013793755 and -1.013793755.Subproblem 1
t + -0.1666666667 = 1.013793755 Simplifying t + -0.1666666667 = 1.013793755 Reorder the terms: -0.1666666667 + t = 1.013793755 Solving -0.1666666667 + t = 1.013793755 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + t = 1.013793755 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + t = 1.013793755 + 0.1666666667 t = 1.013793755 + 0.1666666667 Combine like terms: 1.013793755 + 0.1666666667 = 1.1804604217 t = 1.1804604217 Simplifying t = 1.1804604217Subproblem 2
t + -0.1666666667 = -1.013793755 Simplifying t + -0.1666666667 = -1.013793755 Reorder the terms: -0.1666666667 + t = -1.013793755 Solving -0.1666666667 + t = -1.013793755 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + t = -1.013793755 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + t = -1.013793755 + 0.1666666667 t = -1.013793755 + 0.1666666667 Combine like terms: -1.013793755 + 0.1666666667 = -0.8471270883 t = -0.8471270883 Simplifying t = -0.8471270883Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.1804604217, -0.8471270883}Solution
t = {1.1804604217, -0.8471270883}
| y=-7.5x^2+83.9x+19.9 | | -(8a-3)=-25+6a | | 13x+5y-7x+y= | | -14=x^4-9x^2 | | 3t(2t-1)=8 | | 5x+6+2x+3x+4=180 | | 5x-1=x+6+2x+5 | | (4+2)+(-7+4)= | | -4r+86=-10+8r | | 10(3-4y)=8 | | -16x^2=x^4-10x^3 | | -28=1/14d | | -3(1y+5)=-3 | | 10x+5=7+11x | | 3(3s+7)=-(5-g) | | 4x-4=30 | | 6x+18y=360 | | p^2-19y-42=0 | | 9x^2-42-15= | | 4(3-2r)=r-6(r+5) | | s=mD/102 | | -9h=27 | | (4b-3)(b+5)=0 | | 0.03+0.16(x+3000)=2190 | | 3x^(2/3)=300 | | 3x^2/3=300 | | Tan(36)=3x | | sin^4x-1=0 | | 2x-4(x-3)=-6+5x-10 | | 33=-3b+3 | | 7.50=-1d+4c | | 4t-1/4t^2 |