(5x-2)(4x-7)=

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Solution for (5x-2)(4x-7)= equation:


Simplifying
(5x + -2)(4x + -7) = 0

Reorder the terms:
(-2 + 5x)(4x + -7) = 0

Reorder the terms:
(-2 + 5x)(-7 + 4x) = 0

Multiply (-2 + 5x) * (-7 + 4x)
(-2(-7 + 4x) + 5x * (-7 + 4x)) = 0
((-7 * -2 + 4x * -2) + 5x * (-7 + 4x)) = 0
((14 + -8x) + 5x * (-7 + 4x)) = 0
(14 + -8x + (-7 * 5x + 4x * 5x)) = 0
(14 + -8x + (-35x + 20x2)) = 0

Combine like terms: -8x + -35x = -43x
(14 + -43x + 20x2) = 0

Solving
14 + -43x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -5x)(7 + -4x) = 0

Subproblem 1

Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

Subproblem 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 = 1.75

Solution

x = {0.4, 1.75}

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