If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x + (2x + -3)(x + 5) = 0 Reorder the terms: 3x + (-3 + 2x)(x + 5) = 0 Reorder the terms: 3x + (-3 + 2x)(5 + x) = 0 Multiply (-3 + 2x) * (5 + x) 3x + (-3(5 + x) + 2x * (5 + x)) = 0 3x + ((5 * -3 + x * -3) + 2x * (5 + x)) = 0 3x + ((-15 + -3x) + 2x * (5 + x)) = 0 3x + (-15 + -3x + (5 * 2x + x * 2x)) = 0 3x + (-15 + -3x + (10x + 2x2)) = 0 Combine like terms: -3x + 10x = 7x 3x + (-15 + 7x + 2x2) = 0 Reorder the terms: -15 + 3x + 7x + 2x2 = 0 Combine like terms: 3x + 7x = 10x -15 + 10x + 2x2 = 0 Solving -15 + 10x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -7.5 + 5x + x2 = 0 Move the constant term to the right: Add '7.5' to each side of the equation. -7.5 + 5x + 7.5 + x2 = 0 + 7.5 Reorder the terms: -7.5 + 7.5 + 5x + x2 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 5x + x2 = 0 + 7.5 5x + x2 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 5x + x2 = 7.5 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = 7.5 + 6.25 Reorder the terms: 6.25 + 5x + x2 = 7.5 + 6.25 Combine like terms: 7.5 + 6.25 = 13.75 6.25 + 5x + x2 = 13.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = 13.75 Calculate the square root of the right side: 3.708099244 Break this problem into two subproblems by setting (x + 2.5) equal to 3.708099244 and -3.708099244.Subproblem 1
x + 2.5 = 3.708099244 Simplifying x + 2.5 = 3.708099244 Reorder the terms: 2.5 + x = 3.708099244 Solving 2.5 + x = 3.708099244 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = 3.708099244 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 3.708099244 + -2.5 x = 3.708099244 + -2.5 Combine like terms: 3.708099244 + -2.5 = 1.208099244 x = 1.208099244 Simplifying x = 1.208099244Subproblem 2
x + 2.5 = -3.708099244 Simplifying x + 2.5 = -3.708099244 Reorder the terms: 2.5 + x = -3.708099244 Solving 2.5 + x = -3.708099244 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = -3.708099244 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = -3.708099244 + -2.5 x = -3.708099244 + -2.5 Combine like terms: -3.708099244 + -2.5 = -6.208099244 x = -6.208099244 Simplifying x = -6.208099244Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.208099244, -6.208099244}
| 7.5+3w=3.5+2w | | 5(u+10)=115 | | 1.25+3.25=78.75 | | 3b-2b+3b-3b=15 | | 6(2x+9)=90 | | 18c-14c-3c=7 | | 4xy-2x-1=5y-2x+7 | | 91/7 | | sin(t)+2sin(2t)=0 | | 1-8b=-11-5b | | 2x+30+3x+5=180 | | k/-3-15=45 | | 3+2x=6x-21 | | 2x+8x=8x+12 | | 5v-23=-3(v-3) | | (4x+6y-3)dx+(6x-4y+1)dy=0 | | u-3=7.8 | | 8/a-9/5 | | -x^2+48x-432=0 | | 17+a=28 | | 8x+7=10+7x | | -5z^2-5z+60=0 | | 9/2=n-9/n | | 3x+2y=4-5x+3y | | 14+4x=2-2 | | 205=5d | | 9xc=882 | | -2v+5=1-v | | 33=9-5n | | v+1-5(-3v-1)=2(v-5) | | 3x-5(x-3)=-7+2x-2 | | 9xc=888 |