If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (9t2 + 4t + -6) + -1(t2 + -2t + 4) = 0 Reorder the terms: (-6 + 4t + 9t2) + -1(t2 + -2t + 4) = 0 Remove parenthesis around (-6 + 4t + 9t2) -6 + 4t + 9t2 + -1(t2 + -2t + 4) = 0 Reorder the terms: -6 + 4t + 9t2 + -1(4 + -2t + t2) = 0 -6 + 4t + 9t2 + (4 * -1 + -2t * -1 + t2 * -1) = 0 -6 + 4t + 9t2 + (-4 + 2t + -1t2) = 0 Reorder the terms: -6 + -4 + 4t + 2t + 9t2 + -1t2 = 0 Combine like terms: -6 + -4 = -10 -10 + 4t + 2t + 9t2 + -1t2 = 0 Combine like terms: 4t + 2t = 6t -10 + 6t + 9t2 + -1t2 = 0 Combine like terms: 9t2 + -1t2 = 8t2 -10 + 6t + 8t2 = 0 Solving -10 + 6t + 8t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 3t + 4t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + 3t + 4t2)' equal to zero and attempt to solve: Simplifying -5 + 3t + 4t2 = 0 Solving -5 + 3t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -1.25 + 0.75t + t2 = 0 Move the constant term to the right: Add '1.25' to each side of the equation. -1.25 + 0.75t + 1.25 + t2 = 0 + 1.25 Reorder the terms: -1.25 + 1.25 + 0.75t + t2 = 0 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + 0.75t + t2 = 0 + 1.25 0.75t + t2 = 0 + 1.25 Combine like terms: 0 + 1.25 = 1.25 0.75t + t2 = 1.25 The t term is 0.75t. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75t + 0.140625 + t2 = 1.25 + 0.140625 Reorder the terms: 0.140625 + 0.75t + t2 = 1.25 + 0.140625 Combine like terms: 1.25 + 0.140625 = 1.390625 0.140625 + 0.75t + t2 = 1.390625 Factor a perfect square on the left side: (t + 0.375)(t + 0.375) = 1.390625 Calculate the square root of the right side: 1.179247642 Break this problem into two subproblems by setting (t + 0.375) equal to 1.179247642 and -1.179247642.Subproblem 1
t + 0.375 = 1.179247642 Simplifying t + 0.375 = 1.179247642 Reorder the terms: 0.375 + t = 1.179247642 Solving 0.375 + t = 1.179247642 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.375' to each side of the equation. 0.375 + -0.375 + t = 1.179247642 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + t = 1.179247642 + -0.375 t = 1.179247642 + -0.375 Combine like terms: 1.179247642 + -0.375 = 0.804247642 t = 0.804247642 Simplifying t = 0.804247642Subproblem 2
t + 0.375 = -1.179247642 Simplifying t + 0.375 = -1.179247642 Reorder the terms: 0.375 + t = -1.179247642 Solving 0.375 + t = -1.179247642 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.375' to each side of the equation. 0.375 + -0.375 + t = -1.179247642 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + t = -1.179247642 + -0.375 t = -1.179247642 + -0.375 Combine like terms: -1.179247642 + -0.375 = -1.554247642 t = -1.554247642 Simplifying t = -1.554247642Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.804247642, -1.554247642}Solution
t = {0.804247642, -1.554247642}
| 3y+9=2x-3 | | 2y-9=-y+6 | | 2/3×5/2 | | 3(x+5)+3=18+3x | | Lnx/x^4 | | -2x-2=32-4 | | 15y^2+6y=9 | | 2/5(4-15w) | | Y^2+13y-326=0 | | 7x3/8 | | 10(s-3)=-55 | | (x-5)+2=11 | | a(n)=-6(1/3)^n-1 | | -9x+4=15x+28 | | (12x+17)+(13x-78)=180 | | 2sinx^2-2=0 | | 2+3x=x+4 | | 4cos^4x-5sin^2x-4=0 | | 6.5=(-log)(8) | | 8a-6=5a | | 2x+4=-23 | | Q=12^(5/6) | | 6.5=-log(8) | | 3/9x=-1/10 | | 1-a=4 | | 3/9=-1/10 | | 2x-3x+4x-2x+6= | | -2/5x=-1/10 | | 52-[30-2(7-x)]= | | 4.2+9.8= | | 8(3s+6)=96 | | 4x-5=-22 |