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Simplifying 4x3 + -8x = 14x2 Reorder the terms: -8x + 4x3 = 14x2 Solving -8x + 4x3 = 14x2 Solving for variable 'x'. Reorder the terms: -8x + -14x2 + 4x3 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 -8x + -14x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-4 + -7x + 2x2) = 0 Factor a trinomial. 2x((-1 + -2x)(4 + -1x)) = 0 Ignore the factor 2.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 '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, -0.5, 4}
| t=42 | | 7(a+x)=b-a+2x | | 525.00+5.00x=1500 | | -3a+2b= | | -5x*-2x= | | 5x*(-2x)= | | -2*-1+y=1 | | 5*2x= | | -2*-2+y=1 | | 5+2x= | | y+5*1=0 | | -x*x= | | y+5*0=0 | | 5(3-4x)=255 | | y+5*-1=0 | | -3x*(-x)= | | y+5*-2=0 | | -4x*2x= | | -3b*(-4a)= | | 2*1+y=3 | | 7(-2x+4)=-84 | | 3a*2b= | | 2*0+y=3 | | 2x-3x= | | 2*-1+y=3 | | -x+5x= | | -4(-6x+4)=-256 | | -3x+4x= | | 5x+2x= | | 6y+5=8 | | 2(-10-2x)=-32 | | 2(1+4x)=-86 |