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Simplifying 5x(4x + -7) = 0 Reorder the terms: 5x(-7 + 4x) = 0 (-7 * 5x + 4x * 5x) = 0 (-35x + 20x2) = 0 Solving -35x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-7 + 4x) = 0 Ignore the factor 5.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 '(-7 + 4x)' equal to zero and attempt to solve: Simplifying -7 + 4x = 0 Solving -7 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 0 + 7 4x = 0 + 7 Combine like terms: 0 + 7 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75Solution
x = {0, 1.75}
| 3x^2+13=12 | | 27=5W | | 2x^2-8=42 | | Xy(3x+4y)= | | 6+11r=-5 | | 127=-60 | | -29=5(29-1)+29 | | X(5-8y)= | | 5-4y+y-=-23 | | -3m-11m=-14 | | (3y+5)y= | | 0.6x+0.75(20-x)=0.72(20) | | 4.3+-1.4(p+7)=9.7 | | 8x^2=60 | | 4.3-8.1-n=8.6 | | H(y)=6y^2-y-12 | | 2x+5=-12 | | 18=3(3-6) | | x=3x-8+2y | | (A+x)-8= | | 5x+1+1x=3 | | -(7c-18)-2c=2 | | -9+b+8b=23 | | 7+2(a+3)=-9 | | (X+5)10= | | 9x-44=64 | | 4p^2=488 | | 2x^2+16x-66= | | K(x)=2x^2-5x-25 | | 6x-5+4x+7= | | 32-2(11-8)2=36(1.75) | | 32-2(11-8)2=36(0) |