If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3x + 10)(2x) = 90 Reorder the terms: (10 + 3x)(2x) = 90 Remove parenthesis around (2x) (10 + 3x) * 2x = 90 Reorder the terms for easier multiplication: 2x(10 + 3x) = 90 (10 * 2x + 3x * 2x) = 90 (20x + 6x2) = 90 Solving 20x + 6x2 = 90 Solving for variable 'x'. Reorder the terms: -90 + 20x + 6x2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + 20x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-45 + 10x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-45 + 10x + 3x2)' equal to zero and attempt to solve: Simplifying -45 + 10x + 3x2 = 0 Solving -45 + 10x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -15 + 3.333333333x + x2 = 0 Move the constant term to the right: Add '15' to each side of the equation. -15 + 3.333333333x + 15 + x2 = 0 + 15 Reorder the terms: -15 + 15 + 3.333333333x + x2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 3.333333333x + x2 = 0 + 15 3.333333333x + x2 = 0 + 15 Combine like terms: 0 + 15 = 15 3.333333333x + x2 = 15 The x term is 3.333333333x. Take half its coefficient (1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. 3.333333333x + 2.777777779 + x2 = 15 + 2.777777779 Reorder the terms: 2.777777779 + 3.333333333x + x2 = 15 + 2.777777779 Combine like terms: 15 + 2.777777779 = 17.777777779 2.777777779 + 3.333333333x + x2 = 17.777777779 Factor a perfect square on the left side: (x + 1.666666667)(x + 1.666666667) = 17.777777779 Calculate the square root of the right side: 4.216370214 Break this problem into two subproblems by setting (x + 1.666666667) equal to 4.216370214 and -4.216370214.Subproblem 1
x + 1.666666667 = 4.216370214 Simplifying x + 1.666666667 = 4.216370214 Reorder the terms: 1.666666667 + x = 4.216370214 Solving 1.666666667 + x = 4.216370214 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.666666667' to each side of the equation. 1.666666667 + -1.666666667 + x = 4.216370214 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + x = 4.216370214 + -1.666666667 x = 4.216370214 + -1.666666667 Combine like terms: 4.216370214 + -1.666666667 = 2.549703547 x = 2.549703547 Simplifying x = 2.549703547Subproblem 2
x + 1.666666667 = -4.216370214 Simplifying x + 1.666666667 = -4.216370214 Reorder the terms: 1.666666667 + x = -4.216370214 Solving 1.666666667 + x = -4.216370214 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.666666667' to each side of the equation. 1.666666667 + -1.666666667 + x = -4.216370214 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + x = -4.216370214 + -1.666666667 x = -4.216370214 + -1.666666667 Combine like terms: -4.216370214 + -1.666666667 = -5.883036881 x = -5.883036881 Simplifying x = -5.883036881Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.549703547, -5.883036881}Solution
x = {2.549703547, -5.883036881}
| x-7.3=3.2 | | 8y-2x=10+4x-6y | | (3x+10)+(2x)=90 | | m-7/9=20/9 | | 20+m-2m=9m-6 | | -x-18+2x+13=-3 | | 1/2x+1/4x=3 | | -5x^2+6+x^2-1+5x^2= | | x+4=2*x | | 6x^2+5=89 | | (4a+3)(3a+1)=0 | | 0.65/12 | | 20+4=7+4x((-6)+5) | | Kx^2+(k+1)x-1=0 | | 2(x-2)+3x=(2x+1) | | y-2/6y^2-4y-3/4y^2 | | 6+2*x=34 | | (3x+10)(2x)=180 | | 7x^2-21x=13x^2-22x | | x/100=338/520 | | M+20-2m=9m-6 | | -9x+22+7x+11=1 | | -8(8x-1)+2(-9+2x)+x= | | 8a+3a+8=9a-2a-16 | | 25/2 | | -3m-6=5m-3 | | x/100=45/360 | | (3x+10)+(2x)=180 | | 20+4=7+4((-6)+5) | | Log(x^2-1/x)^3 | | (3x)+7=13 | | -6a+3a-13=0 |