If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (13x + -6)(5x + 14) = 54 Reorder the terms: (-6 + 13x)(5x + 14) = 54 Reorder the terms: (-6 + 13x)(14 + 5x) = 54 Multiply (-6 + 13x) * (14 + 5x) (-6(14 + 5x) + 13x * (14 + 5x)) = 54 ((14 * -6 + 5x * -6) + 13x * (14 + 5x)) = 54 ((-84 + -30x) + 13x * (14 + 5x)) = 54 (-84 + -30x + (14 * 13x + 5x * 13x)) = 54 (-84 + -30x + (182x + 65x2)) = 54 Combine like terms: -30x + 182x = 152x (-84 + 152x + 65x2) = 54 Solving -84 + 152x + 65x2 = 54 Solving for variable 'x'. Reorder the terms: -84 + -54 + 152x + 65x2 = 54 + -54 Combine like terms: -84 + -54 = -138 -138 + 152x + 65x2 = 54 + -54 Combine like terms: 54 + -54 = 0 -138 + 152x + 65x2 = 0 Begin completing the square. Divide all terms by 65 the coefficient of the squared term: Divide each side by '65'. -2.123076923 + 2.338461538x + x2 = 0 Move the constant term to the right: Add '2.123076923' to each side of the equation. -2.123076923 + 2.338461538x + 2.123076923 + x2 = 0 + 2.123076923 Reorder the terms: -2.123076923 + 2.123076923 + 2.338461538x + x2 = 0 + 2.123076923 Combine like terms: -2.123076923 + 2.123076923 = 0.000000000 0.000000000 + 2.338461538x + x2 = 0 + 2.123076923 2.338461538x + x2 = 0 + 2.123076923 Combine like terms: 0 + 2.123076923 = 2.123076923 2.338461538x + x2 = 2.123076923 The x term is 2.338461538x. Take half its coefficient (1.169230769). Square it (1.367100591) and add it to both sides. Add '1.367100591' to each side of the equation. 2.338461538x + 1.367100591 + x2 = 2.123076923 + 1.367100591 Reorder the terms: 1.367100591 + 2.338461538x + x2 = 2.123076923 + 1.367100591 Combine like terms: 2.123076923 + 1.367100591 = 3.490177514 1.367100591 + 2.338461538x + x2 = 3.490177514 Factor a perfect square on the left side: (x + 1.169230769)(x + 1.169230769) = 3.490177514 Calculate the square root of the right side: 1.868201679 Break this problem into two subproblems by setting (x + 1.169230769) equal to 1.868201679 and -1.868201679.Subproblem 1
x + 1.169230769 = 1.868201679 Simplifying x + 1.169230769 = 1.868201679 Reorder the terms: 1.169230769 + x = 1.868201679 Solving 1.169230769 + x = 1.868201679 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.169230769' to each side of the equation. 1.169230769 + -1.169230769 + x = 1.868201679 + -1.169230769 Combine like terms: 1.169230769 + -1.169230769 = 0.000000000 0.000000000 + x = 1.868201679 + -1.169230769 x = 1.868201679 + -1.169230769 Combine like terms: 1.868201679 + -1.169230769 = 0.69897091 x = 0.69897091 Simplifying x = 0.69897091Subproblem 2
x + 1.169230769 = -1.868201679 Simplifying x + 1.169230769 = -1.868201679 Reorder the terms: 1.169230769 + x = -1.868201679 Solving 1.169230769 + x = -1.868201679 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.169230769' to each side of the equation. 1.169230769 + -1.169230769 + x = -1.868201679 + -1.169230769 Combine like terms: 1.169230769 + -1.169230769 = 0.000000000 0.000000000 + x = -1.868201679 + -1.169230769 x = -1.868201679 + -1.169230769 Combine like terms: -1.868201679 + -1.169230769 = -3.037432448 x = -3.037432448 Simplifying x = -3.037432448Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.69897091, -3.037432448}
| 37.5=3u | | -18= | | 5(8x-3)+6=8(6x+5)-20 | | 6(2-8n)=-36 | | 2w*l+4=92 | | 3/2.493= | | x-5/25=-1 | | 2(t-2)+3(5t)=30 | | x/20=8/32 | | 1.5/2.129= | | 10=60x/600 | | 34-x=-2 | | -4=-2x-1+1 | | (14x+1)-9x= | | (x-20)x=90 | | 9/10=3x/2-7x/5 | | 175-n=143 | | (x-20)+x=20 | | -3x-5y=45 | | 53-x=-1 | | 6y+5(y+2)=5y+8 | | (3x+25)2x=180 | | 3x+7y=-12 | | -n+10-2n=-5(n+2) | | 60x/600 | | 2=a-6+3a | | A=D-B-C | | 9x-3(2-x)=4(3x+8)-7x | | x^2=0.11-1.8x | | (6x+11+9x)= | | r+7-1=6 | | 0.7=x-1.2x |