If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x(x + 5) = 7x + (3 + x)(3 + -1x) Reorder the terms: 3x(5 + x) = 7x + (3 + x)(3 + -1x) (5 * 3x + x * 3x) = 7x + (3 + x)(3 + -1x) (15x + 3x2) = 7x + (3 + x)(3 + -1x) Multiply (3 + x) * (3 + -1x) 15x + 3x2 = 7x + (3(3 + -1x) + x(3 + -1x)) 15x + 3x2 = 7x + ((3 * 3 + -1x * 3) + x(3 + -1x)) 15x + 3x2 = 7x + ((9 + -3x) + x(3 + -1x)) 15x + 3x2 = 7x + (9 + -3x + (3 * x + -1x * x)) 15x + 3x2 = 7x + (9 + -3x + (3x + -1x2)) Combine like terms: -3x + 3x = 0 15x + 3x2 = 7x + (9 + 0 + -1x2) 15x + 3x2 = 7x + (9 + -1x2) Reorder the terms: 15x + 3x2 = 9 + 7x + -1x2 Solving 15x + 3x2 = 9 + 7x + -1x2 Solving for variable 'x'. Reorder the terms: -9 + 15x + -7x + 3x2 + x2 = 9 + 7x + -1x2 + -9 + -7x + x2 Combine like terms: 15x + -7x = 8x -9 + 8x + 3x2 + x2 = 9 + 7x + -1x2 + -9 + -7x + x2 Combine like terms: 3x2 + x2 = 4x2 -9 + 8x + 4x2 = 9 + 7x + -1x2 + -9 + -7x + x2 Reorder the terms: -9 + 8x + 4x2 = 9 + -9 + 7x + -7x + -1x2 + x2 Combine like terms: 9 + -9 = 0 -9 + 8x + 4x2 = 0 + 7x + -7x + -1x2 + x2 -9 + 8x + 4x2 = 7x + -7x + -1x2 + x2 Combine like terms: 7x + -7x = 0 -9 + 8x + 4x2 = 0 + -1x2 + x2 -9 + 8x + 4x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -9 + 8x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -2.25 + 2x + x2 = 0 Move the constant term to the right: Add '2.25' to each side of the equation. -2.25 + 2x + 2.25 + x2 = 0 + 2.25 Reorder the terms: -2.25 + 2.25 + 2x + x2 = 0 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + 2x + x2 = 0 + 2.25 2x + x2 = 0 + 2.25 Combine like terms: 0 + 2.25 = 2.25 2x + x2 = 2.25 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = 2.25 + 1 Reorder the terms: 1 + 2x + x2 = 2.25 + 1 Combine like terms: 2.25 + 1 = 3.25 1 + 2x + x2 = 3.25 Factor a perfect square on the left side: (x + 1)(x + 1) = 3.25 Calculate the square root of the right side: 1.802775638 Break this problem into two subproblems by setting (x + 1) equal to 1.802775638 and -1.802775638.Subproblem 1
x + 1 = 1.802775638 Simplifying x + 1 = 1.802775638 Reorder the terms: 1 + x = 1.802775638 Solving 1 + x = 1.802775638 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 1.802775638 + -1 Combine like terms: 1 + -1 = 0 0 + x = 1.802775638 + -1 x = 1.802775638 + -1 Combine like terms: 1.802775638 + -1 = 0.802775638 x = 0.802775638 Simplifying x = 0.802775638Subproblem 2
x + 1 = -1.802775638 Simplifying x + 1 = -1.802775638 Reorder the terms: 1 + x = -1.802775638 Solving 1 + x = -1.802775638 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -1.802775638 + -1 Combine like terms: 1 + -1 = 0 0 + x = -1.802775638 + -1 x = -1.802775638 + -1 Combine like terms: -1.802775638 + -1 = -2.802775638 x = -2.802775638 Simplifying x = -2.802775638Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.802775638, -2.802775638}
| -3.5q+1.4=-22.8-1.3q | | 6k-(3k-7)= | | V+1.76=9.57 | | 4c+8y=12 | | 16x^2+40xy+25y^2=0 | | 5x+6x-7=6-7-x | | 7x-4(2-3x)=-27 | | 7x-5=-9x-7 | | z^2-5z+90=0 | | n+(n+1)+(n+2)+(n+3)+2n=360 | | 12y+6c=24 | | 675=5x^3 | | 2n=360 | | -6+9h=9 | | 6a+12y=24 | | -9r-5=9+10r | | 12(x-4)-4x(x-4)=0 | | 6x+83=54 | | 5a+10=20 | | 6y+12=18 | | 1.1x-3.3y+4.5x-0.1y= | | 10u-6u=12 | | 6n+4=n-44 | | 9x^2-3x-1=0 | | 4(x+3)-3(x+7)=4x+12-3x+21 | | -7x-8=5x-1 | | 1.3q-4.3-3.4q=3.1q-1.8 | | 3(r-4)=-4 | | log[5]10-log[5]4= | | 4(x+6)=84 | | 8x^2+x-3=0 | | 13-(x+7)=6x-8 |