(7x-1)(9x-4)=

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Solution for (7x-1)(9x-4)= equation:


Simplifying
(7x + -1)(9x + -4) = 0

Reorder the terms:
(-1 + 7x)(9x + -4) = 0

Reorder the terms:
(-1 + 7x)(-4 + 9x) = 0

Multiply (-1 + 7x) * (-4 + 9x)
(-1(-4 + 9x) + 7x * (-4 + 9x)) = 0
((-4 * -1 + 9x * -1) + 7x * (-4 + 9x)) = 0
((4 + -9x) + 7x * (-4 + 9x)) = 0
(4 + -9x + (-4 * 7x + 9x * 7x)) = 0
(4 + -9x + (-28x + 63x2)) = 0

Combine like terms: -9x + -28x = -37x
(4 + -37x + 63x2) = 0

Solving
4 + -37x + 63x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429

Subproblem 2

Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 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 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444

Solution

x = {0.1428571429, 0.4444444444}

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