If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x + 3)(4x + -1) = 27 Reorder the terms: (3 + x)(4x + -1) = 27 Reorder the terms: (3 + x)(-1 + 4x) = 27 Multiply (3 + x) * (-1 + 4x) (3(-1 + 4x) + x(-1 + 4x)) = 27 ((-1 * 3 + 4x * 3) + x(-1 + 4x)) = 27 ((-3 + 12x) + x(-1 + 4x)) = 27 (-3 + 12x + (-1 * x + 4x * x)) = 27 (-3 + 12x + (-1x + 4x2)) = 27 Combine like terms: 12x + -1x = 11x (-3 + 11x + 4x2) = 27 Solving -3 + 11x + 4x2 = 27 Solving for variable 'x'. Reorder the terms: -3 + -27 + 11x + 4x2 = 27 + -27 Combine like terms: -3 + -27 = -30 -30 + 11x + 4x2 = 27 + -27 Combine like terms: 27 + -27 = 0 -30 + 11x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -7.5 + 2.75x + x2 = 0 Move the constant term to the right: Add '7.5' to each side of the equation. -7.5 + 2.75x + 7.5 + x2 = 0 + 7.5 Reorder the terms: -7.5 + 7.5 + 2.75x + x2 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 2.75x + x2 = 0 + 7.5 2.75x + x2 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 2.75x + x2 = 7.5 The x term is 2.75x. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75x + 1.890625 + x2 = 7.5 + 1.890625 Reorder the terms: 1.890625 + 2.75x + x2 = 7.5 + 1.890625 Combine like terms: 7.5 + 1.890625 = 9.390625 1.890625 + 2.75x + x2 = 9.390625 Factor a perfect square on the left side: (x + 1.375)(x + 1.375) = 9.390625 Calculate the square root of the right side: 3.064412668 Break this problem into two subproblems by setting (x + 1.375) equal to 3.064412668 and -3.064412668.Subproblem 1
x + 1.375 = 3.064412668 Simplifying x + 1.375 = 3.064412668 Reorder the terms: 1.375 + x = 3.064412668 Solving 1.375 + x = 3.064412668 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.375' to each side of the equation. 1.375 + -1.375 + x = 3.064412668 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + x = 3.064412668 + -1.375 x = 3.064412668 + -1.375 Combine like terms: 3.064412668 + -1.375 = 1.689412668 x = 1.689412668 Simplifying x = 1.689412668Subproblem 2
x + 1.375 = -3.064412668 Simplifying x + 1.375 = -3.064412668 Reorder the terms: 1.375 + x = -3.064412668 Solving 1.375 + x = -3.064412668 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.375' to each side of the equation. 1.375 + -1.375 + x = -3.064412668 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + x = -3.064412668 + -1.375 x = -3.064412668 + -1.375 Combine like terms: -3.064412668 + -1.375 = -4.439412668 x = -4.439412668 Simplifying x = -4.439412668Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.689412668, -4.439412668}
| cos(x)-cos(4x)=0 | | 2(x+6)=5+(12-3x) | | X(X+2)=1023 | | A=2i+j-3k | | -7x-2+5x-6=-4 | | -5-a=a+1 | | 5x+6=5x-15 | | 2/5*4/5 | | X^2+2x-1023=0 | | 3(r-6)-2r=-14+5 | | 5/6*5/12 | | 8038.4=1262.0288r^3 | | x-0.8x=216 | | 7x^2-20x+28=0 | | 1/2*9/10 | | A=2i | | 9x-8x+15=10-3 | | (x+55)=(4x-5) | | 7/12*5/12 | | 10x-11=49 | | 14=lw | | 7/10*3/5 | | x/3-x=x/15-22/5 | | 17+m=33 | | 25x^2-236x-644=0 | | 10x^2-7x+1= | | 4-18=7x-5-6x | | -y=0.75x-7 | | 14x^5-18x^3= | | 3-6x=4x+y | | 56=i+24 | | 35*x=350 |