If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 15x3 + 42x2 + -63x = 0 Reorder the terms: -63x + 42x2 + 15x3 = 0 Solving -63x + 42x2 + 15x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-21 + 14x + 5x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-21 + 14x + 5x2)' equal to zero and attempt to solve: Simplifying -21 + 14x + 5x2 = 0 Solving -21 + 14x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -4.2 + 2.8x + x2 = 0 Move the constant term to the right: Add '4.2' to each side of the equation. -4.2 + 2.8x + 4.2 + x2 = 0 + 4.2 Reorder the terms: -4.2 + 4.2 + 2.8x + x2 = 0 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 2.8x + x2 = 0 + 4.2 2.8x + x2 = 0 + 4.2 Combine like terms: 0 + 4.2 = 4.2 2.8x + x2 = 4.2 The x term is 2.8x. Take half its coefficient (1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. 2.8x + 1.96 + x2 = 4.2 + 1.96 Reorder the terms: 1.96 + 2.8x + x2 = 4.2 + 1.96 Combine like terms: 4.2 + 1.96 = 6.16 1.96 + 2.8x + x2 = 6.16 Factor a perfect square on the left side: (x + 1.4)(x + 1.4) = 6.16 Calculate the square root of the right side: 2.481934729 Break this problem into two subproblems by setting (x + 1.4) equal to 2.481934729 and -2.481934729.Subproblem 1
x + 1.4 = 2.481934729 Simplifying x + 1.4 = 2.481934729 Reorder the terms: 1.4 + x = 2.481934729 Solving 1.4 + x = 2.481934729 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + x = 2.481934729 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + x = 2.481934729 + -1.4 x = 2.481934729 + -1.4 Combine like terms: 2.481934729 + -1.4 = 1.081934729 x = 1.081934729 Simplifying x = 1.081934729Subproblem 2
x + 1.4 = -2.481934729 Simplifying x + 1.4 = -2.481934729 Reorder the terms: 1.4 + x = -2.481934729 Solving 1.4 + x = -2.481934729 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + x = -2.481934729 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + x = -2.481934729 + -1.4 x = -2.481934729 + -1.4 Combine like terms: -2.481934729 + -1.4 = -3.881934729 x = -3.881934729 Simplifying x = -3.881934729Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.081934729, -3.881934729}Solution
x = {0, 1.081934729, -3.881934729}
| -3x-4x= | | 13x+8=14x+2 | | (2/3)x+7=21 | | (5/7)x=100 | | 4x+10=3x+10 | | -148-17x=-11x+74 | | 3x+2x=22 | | 2x+3(-3x+4)=6 | | -135-4x=13x+90 | | 3x+11=7x | | 2x+3(x-7)=6 | | 70+7(3x)=91 | | 17x=3x+4 | | 10x^2+2x= | | 2X+4Y=3X+2Y+1 | | 15x=7x+5 | | (1/4)x+5=10 | | -12x-205=x+159 | | (3/4)x=15 | | 7(10+3x)=91 | | 2+7x+8=3x+10 | | 2x+5=11x+5 | | 5q^2-5q=4q^2-7q+63 | | -15m=3+5m | | -83-10x=-15x+82 | | -16t^2+384t+50=h | | 15x-162=102+7x | | (2/3)x=20 | | 22=8z-4 | | H=-16t^2+384t+50 | | (1/2)x=40 | | x-2(-7)=10 |