(7x-3)(7x-6)=

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Solution for (7x-3)(7x-6)= equation:


Simplifying
(7x + -3)(7x + -6) = 0

Reorder the terms:
(-3 + 7x)(7x + -6) = 0

Reorder the terms:
(-3 + 7x)(-6 + 7x) = 0

Multiply (-3 + 7x) * (-6 + 7x)
(-3(-6 + 7x) + 7x * (-6 + 7x)) = 0
((-6 * -3 + 7x * -3) + 7x * (-6 + 7x)) = 0
((18 + -21x) + 7x * (-6 + 7x)) = 0
(18 + -21x + (-6 * 7x + 7x * 7x)) = 0
(18 + -21x + (-42x + 49x2)) = 0

Combine like terms: -21x + -42x = -63x
(18 + -63x + 49x2) = 0

Solving
18 + -63x + 49x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -7x)(6 + -7x) = 0

Subproblem 1

Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286

Subproblem 2

Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571

Solution

x = {0.4285714286, 0.8571428571}

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