9x(7x-4)+(7x-4)=0

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Solution for 9x(7x-4)+(7x-4)=0 equation:


Simplifying
9x(7x + -4) + (7x + -4) = 0

Reorder the terms:
9x(-4 + 7x) + (7x + -4) = 0
(-4 * 9x + 7x * 9x) + (7x + -4) = 0
(-36x + 63x2) + (7x + -4) = 0

Reorder the terms:
-36x + 63x2 + (-4 + 7x) = 0

Remove parenthesis around (-4 + 7x)
-36x + 63x2 + -4 + 7x = 0

Reorder the terms:
-4 + -36x + 7x + 63x2 = 0

Combine like terms: -36x + 7x = -29x
-4 + -29x + 63x2 = 0

Solving
-4 + -29x + 63x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -9x)(4 + -7x) = 0

Subproblem 1

Set the factor '(-1 + -9x)' equal to zero and attempt to solve: Simplifying -1 + -9x = 0 Solving -1 + -9x = 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 + -9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 0 + 1 -9x = 0 + 1 Combine like terms: 0 + 1 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111

Subproblem 2

Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 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 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714

Solution

x = {-0.1111111111, 0.5714285714}

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