If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -3t2 + 18t + 24 = 0 Reorder the terms: 24 + 18t + -3t2 = 0 Solving 24 + 18t + -3t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3'. 3(8 + 6t + -1t2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + 6t + -1t2)' equal to zero and attempt to solve: Simplifying 8 + 6t + -1t2 = 0 Solving 8 + 6t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -8 + -6t + t2 = 0 Move the constant term to the right: Add '8' to each side of the equation. -8 + -6t + 8 + t2 = 0 + 8 Reorder the terms: -8 + 8 + -6t + t2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -6t + t2 = 0 + 8 -6t + t2 = 0 + 8 Combine like terms: 0 + 8 = 8 -6t + t2 = 8 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = 8 + 9 Reorder the terms: 9 + -6t + t2 = 8 + 9 Combine like terms: 8 + 9 = 17 9 + -6t + t2 = 17 Factor a perfect square on the left side: (t + -3)(t + -3) = 17 Calculate the square root of the right side: 4.123105626 Break this problem into two subproblems by setting (t + -3) equal to 4.123105626 and -4.123105626.Subproblem 1
t + -3 = 4.123105626 Simplifying t + -3 = 4.123105626 Reorder the terms: -3 + t = 4.123105626 Solving -3 + t = 4.123105626 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = 4.123105626 + 3 Combine like terms: -3 + 3 = 0 0 + t = 4.123105626 + 3 t = 4.123105626 + 3 Combine like terms: 4.123105626 + 3 = 7.123105626 t = 7.123105626 Simplifying t = 7.123105626Subproblem 2
t + -3 = -4.123105626 Simplifying t + -3 = -4.123105626 Reorder the terms: -3 + t = -4.123105626 Solving -3 + t = -4.123105626 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = -4.123105626 + 3 Combine like terms: -3 + 3 = 0 0 + t = -4.123105626 + 3 t = -4.123105626 + 3 Combine like terms: -4.123105626 + 3 = -1.123105626 t = -1.123105626 Simplifying t = -1.123105626Solution
The solution to the problem is based on the solutions from the subproblems. t = {7.123105626, -1.123105626}Solution
t = {7.123105626, -1.123105626}
| z-42=-26 | | 3a-5=2a+6 | | m^2+3mn+2n^2= | | 6x^4-14x^3+2x=0 | | 8x+1+16x-13=180 | | 12x^2-12xy^5=0 | | g*-2=-2*-2-1 | | -0.67b+12-1.3=2 | | g*-2=-2-1 | | 4x+28=13x^80 | | 4a-[3-a]=17 | | 12x^2-75xy-63y^2=0 | | 6x+152=8x+180 | | 8x-(4-x)=14 | | 4x+28=11x-80 | | 2x=x^2-4 | | 36/r=18 | | 21x^3y^2-9u^9x^6y^7=0 | | 4p-18=2(-4+3p)+3p | | 12x^10-32x^3=0 | | 24=6k | | 20x-63=-84 | | 112=187-3n | | 27x^3-147x^2=0 | | 14=42/m | | x^2-12x+36=16 | | a^3-a=6 | | 23+8x=12.2 | | 21-h=17 | | 54x^4+288x^3+384x^2=0 | | x-15=(-8) | | (2)(-12)= |