If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 945 = (12x + -15)(12x + -2) Reorder the terms: 945 = (-15 + 12x)(12x + -2) Reorder the terms: 945 = (-15 + 12x)(-2 + 12x) Multiply (-15 + 12x) * (-2 + 12x) 945 = (-15(-2 + 12x) + 12x * (-2 + 12x)) 945 = ((-2 * -15 + 12x * -15) + 12x * (-2 + 12x)) 945 = ((30 + -180x) + 12x * (-2 + 12x)) 945 = (30 + -180x + (-2 * 12x + 12x * 12x)) 945 = (30 + -180x + (-24x + 144x2)) Combine like terms: -180x + -24x = -204x 945 = (30 + -204x + 144x2) Solving 945 = 30 + -204x + 144x2 Solving for variable 'x'. Combine like terms: 945 + -30 = 915 915 + 204x + -144x2 = 30 + -204x + 144x2 + -30 + 204x + -144x2 Reorder the terms: 915 + 204x + -144x2 = 30 + -30 + -204x + 204x + 144x2 + -144x2 Combine like terms: 30 + -30 = 0 915 + 204x + -144x2 = 0 + -204x + 204x + 144x2 + -144x2 915 + 204x + -144x2 = -204x + 204x + 144x2 + -144x2 Combine like terms: -204x + 204x = 0 915 + 204x + -144x2 = 0 + 144x2 + -144x2 915 + 204x + -144x2 = 144x2 + -144x2 Combine like terms: 144x2 + -144x2 = 0 915 + 204x + -144x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(305 + 68x + -48x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(305 + 68x + -48x2)' equal to zero and attempt to solve: Simplifying 305 + 68x + -48x2 = 0 Solving 305 + 68x + -48x2 = 0 Begin completing the square. Divide all terms by -48 the coefficient of the squared term: Divide each side by '-48'. -6.354166667 + -1.416666667x + x2 = 0 Move the constant term to the right: Add '6.354166667' to each side of the equation. -6.354166667 + -1.416666667x + 6.354166667 + x2 = 0 + 6.354166667 Reorder the terms: -6.354166667 + 6.354166667 + -1.416666667x + x2 = 0 + 6.354166667 Combine like terms: -6.354166667 + 6.354166667 = 0.000000000 0.000000000 + -1.416666667x + x2 = 0 + 6.354166667 -1.416666667x + x2 = 0 + 6.354166667 Combine like terms: 0 + 6.354166667 = 6.354166667 -1.416666667x + x2 = 6.354166667 The x term is -1.416666667x. Take half its coefficient (-0.7083333335). Square it (0.5017361113) and add it to both sides. Add '0.5017361113' to each side of the equation. -1.416666667x + 0.5017361113 + x2 = 6.354166667 + 0.5017361113 Reorder the terms: 0.5017361113 + -1.416666667x + x2 = 6.354166667 + 0.5017361113 Combine like terms: 6.354166667 + 0.5017361113 = 6.8559027783 0.5017361113 + -1.416666667x + x2 = 6.8559027783 Factor a perfect square on the left side: (x + -0.7083333335)(x + -0.7083333335) = 6.8559027783 Calculate the square root of the right side: 2.618377891 Break this problem into two subproblems by setting (x + -0.7083333335) equal to 2.618377891 and -2.618377891.Subproblem 1
x + -0.7083333335 = 2.618377891 Simplifying x + -0.7083333335 = 2.618377891 Reorder the terms: -0.7083333335 + x = 2.618377891 Solving -0.7083333335 + x = 2.618377891 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7083333335' to each side of the equation. -0.7083333335 + 0.7083333335 + x = 2.618377891 + 0.7083333335 Combine like terms: -0.7083333335 + 0.7083333335 = 0.0000000000 0.0000000000 + x = 2.618377891 + 0.7083333335 x = 2.618377891 + 0.7083333335 Combine like terms: 2.618377891 + 0.7083333335 = 3.3267112245 x = 3.3267112245 Simplifying x = 3.3267112245Subproblem 2
x + -0.7083333335 = -2.618377891 Simplifying x + -0.7083333335 = -2.618377891 Reorder the terms: -0.7083333335 + x = -2.618377891 Solving -0.7083333335 + x = -2.618377891 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7083333335' to each side of the equation. -0.7083333335 + 0.7083333335 + x = -2.618377891 + 0.7083333335 Combine like terms: -0.7083333335 + 0.7083333335 = 0.0000000000 0.0000000000 + x = -2.618377891 + 0.7083333335 x = -2.618377891 + 0.7083333335 Combine like terms: -2.618377891 + 0.7083333335 = -1.9100445575 x = -1.9100445575 Simplifying x = -1.9100445575Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.3267112245, -1.9100445575}Solution
x = {3.3267112245, -1.9100445575}
| y=520-14(23) | | 1/4n-4=-1 | | 25-4h=9 | | 5(8-2m)=-2(1+2m) | | 5*(550/x)=6*(550/x) | | 2(g+4)=g+5 | | 3(4+1)+1+2*4=2(2*4+2)+4 | | 1-1=(x-2) | | 4n+6=-6 | | x-28=64 | | 6/15=2/c | | -b^2-8b+33=0 | | 4-2x=5x-24 | | 23.13=4g+3.77 | | 15-q=12 | | 3x+X+1.5x=210 | | (X+17)(x-1)=0 | | 8(1-2m)+4=4(-2n-5) | | -8+2x=-24#=12x | | y=20.00+0.45(16) | | 9x+5=7x+10 | | 3b-5-5b-6= | | X+(x+6)*x+(x+6)=112 | | x/5-4=1 | | (X/3)-2x=-12 | | 8(2k-2)-8k=6k-14 | | X+(x+6)*x+(x+6)= | | 1-1=3(x-2) | | 1-2=3(x-1) | | 1-2=3(x+1) | | y^3-y^2-9y+9= | | 12X-12Y=15 |