If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 378 = 3x2 + 6x Reorder the terms: 378 = 6x + 3x2 Solving 378 = 6x + 3x2 Solving for variable 'x'. Reorder the terms: 378 + -6x + -3x2 = 6x + -6x + 3x2 + -3x2 Combine like terms: 6x + -6x = 0 378 + -6x + -3x2 = 0 + 3x2 + -3x2 378 + -6x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 378 + -6x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(126 + -2x + -1x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(126 + -2x + -1x2)' equal to zero and attempt to solve: Simplifying 126 + -2x + -1x2 = 0 Solving 126 + -2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -126 + 2x + x2 = 0 Move the constant term to the right: Add '126' to each side of the equation. -126 + 2x + 126 + x2 = 0 + 126 Reorder the terms: -126 + 126 + 2x + x2 = 0 + 126 Combine like terms: -126 + 126 = 0 0 + 2x + x2 = 0 + 126 2x + x2 = 0 + 126 Combine like terms: 0 + 126 = 126 2x + x2 = 126 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = 126 + 1 Reorder the terms: 1 + 2x + x2 = 126 + 1 Combine like terms: 126 + 1 = 127 1 + 2x + x2 = 127 Factor a perfect square on the left side: (x + 1)(x + 1) = 127 Calculate the square root of the right side: 11.26942767 Break this problem into two subproblems by setting (x + 1) equal to 11.26942767 and -11.26942767.Subproblem 1
x + 1 = 11.26942767 Simplifying x + 1 = 11.26942767 Reorder the terms: 1 + x = 11.26942767 Solving 1 + x = 11.26942767 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 11.26942767 + -1 Combine like terms: 1 + -1 = 0 0 + x = 11.26942767 + -1 x = 11.26942767 + -1 Combine like terms: 11.26942767 + -1 = 10.26942767 x = 10.26942767 Simplifying x = 10.26942767Subproblem 2
x + 1 = -11.26942767 Simplifying x + 1 = -11.26942767 Reorder the terms: 1 + x = -11.26942767 Solving 1 + x = -11.26942767 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -11.26942767 + -1 Combine like terms: 1 + -1 = 0 0 + x = -11.26942767 + -1 x = -11.26942767 + -1 Combine like terms: -11.26942767 + -1 = -12.26942767 x = -12.26942767 Simplifying x = -12.26942767Solution
The solution to the problem is based on the solutions from the subproblems. x = {10.26942767, -12.26942767}Solution
x = {10.26942767, -12.26942767}
| 17x-6=4(4x+2)-2 | | (1/7)-n/3=(4n/6)*9 | | -7(m+2)+3=5-(m+4) | | -9(x+3)+2x+6=6x+9 | | x+7+x+5+x^2-3x+3x-2=45 | | 2n=7n | | 60+.05x=45+.15x | | 6-(14n)=28n*378 | | T(n)=T(n-4)+2n-5 | | 7-3g=8g-15 | | 0.15y+0.07(y+7000)=1810 | | x+7+x+5+x^2-3x+3x-2=0 | | 7x-7+2-4=x-4 | | (6-14n)=(28n)*378 | | 4-4+2x=10-4 | | 5x+6=3x-22 | | 3(7+6x)-11=8-2(x-11) | | 104-x=51 | | 0.5*(3-4x)=2-0.5*(6+3x) | | M-5=-13 | | 6-14n=28n*378 | | 4=-2+4 | | 19=6+3(2m+3) | | 4m(m-2)=4-2m | | (2z-9)=0 | | (-3-2)*2-(4-8)*2-(-6)= | | lx-4l=5x+8 | | 24+6x=96-3x | | 3s-4b=26 | | 0=-2(x+5)+3 | | 15(v+3)-3v=3(4v+2)-10 | | 4h-7=14-3h |