If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (1 + -3x)(1 + -3x) = 21 Multiply (1 + -3x) * (1 + -3x) (1(1 + -3x) + -3x * (1 + -3x)) = 21 ((1 * 1 + -3x * 1) + -3x * (1 + -3x)) = 21 ((1 + -3x) + -3x * (1 + -3x)) = 21 (1 + -3x + (1 * -3x + -3x * -3x)) = 21 (1 + -3x + (-3x + 9x2)) = 21 Combine like terms: -3x + -3x = -6x (1 + -6x + 9x2) = 21 Solving 1 + -6x + 9x2 = 21 Solving for variable 'x'. Reorder the terms: 1 + -21 + -6x + 9x2 = 21 + -21 Combine like terms: 1 + -21 = -20 -20 + -6x + 9x2 = 21 + -21 Combine like terms: 21 + -21 = 0 -20 + -6x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -2.222222222 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '2.222222222' to each side of the equation. -2.222222222 + -0.6666666667x + 2.222222222 + x2 = 0 + 2.222222222 Reorder the terms: -2.222222222 + 2.222222222 + -0.6666666667x + x2 = 0 + 2.222222222 Combine like terms: -2.222222222 + 2.222222222 = 0.000000000 0.000000000 + -0.6666666667x + x2 = 0 + 2.222222222 -0.6666666667x + x2 = 0 + 2.222222222 Combine like terms: 0 + 2.222222222 = 2.222222222 -0.6666666667x + x2 = 2.222222222 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = 2.222222222 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = 2.222222222 + 0.1111111112 Combine like terms: 2.222222222 + 0.1111111112 = 2.3333333332 0.1111111112 + -0.6666666667x + x2 = 2.3333333332 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = 2.3333333332 Calculate the square root of the right side: 1.527525232 Break this problem into two subproblems by setting (x + -0.3333333334) equal to 1.527525232 and -1.527525232.Subproblem 1
x + -0.3333333334 = 1.527525232 Simplifying x + -0.3333333334 = 1.527525232 Reorder the terms: -0.3333333334 + x = 1.527525232 Solving -0.3333333334 + x = 1.527525232 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + x = 1.527525232 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + x = 1.527525232 + 0.3333333334 x = 1.527525232 + 0.3333333334 Combine like terms: 1.527525232 + 0.3333333334 = 1.8608585654 x = 1.8608585654 Simplifying x = 1.8608585654Subproblem 2
x + -0.3333333334 = -1.527525232 Simplifying x + -0.3333333334 = -1.527525232 Reorder the terms: -0.3333333334 + x = -1.527525232 Solving -0.3333333334 + x = -1.527525232 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + x = -1.527525232 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + x = -1.527525232 + 0.3333333334 x = -1.527525232 + 0.3333333334 Combine like terms: -1.527525232 + 0.3333333334 = -1.1941918986 x = -1.1941918986 Simplifying x = -1.1941918986Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.8608585654, -1.1941918986}
| -3x-1+9=12-7x | | 240/360*3.14= | | 20/27=1.1/x | | log(6x)=1.6 | | (8y^6/4y^4)^-4 | | 0.2(x^(1/2)=0.15x | | 17/24=x/108 | | 7y=2x+63 | | 13.95+.13x=-15+0.39x | | 45p+30=35p+10 | | 20-(-4)= | | x^2/5=25 | | 4x+x+1=388 | | 8ex-1=2 | | 6/13=7.8/x | | f(x)=9*x^2-5*x+2 | | 2(x+1)-3x(x+1)=0 | | cos35=30/x | | 6/13=7/x | | W/8-4=(-7) | | 9x+27=x+50 | | -16x^2+288=0 | | 3/8=50/x | | 5y+7=-4(2y+5) | | 4n-11-7n=-13 | | 8n+3=(-5) | | 13/x=39/60 | | 200-90+80+20=10 | | 3(2p+12)=6(p+1)-40p | | x-7/8=5 | | (x+2)(x+2)=-15 | | g(x)=4*(2/3)^x |