-(7x+4)(7x+3)=

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Solution for -(7x+4)(7x+3)= equation:


Simplifying
-1(7x + 4)(7x + 3) = 0

Reorder the terms:
-1(4 + 7x)(7x + 3) = 0

Reorder the terms:
-1(4 + 7x)(3 + 7x) = 0

Multiply (4 + 7x) * (3 + 7x)
-1(4(3 + 7x) + 7x * (3 + 7x)) = 0
-1((3 * 4 + 7x * 4) + 7x * (3 + 7x)) = 0
-1((12 + 28x) + 7x * (3 + 7x)) = 0
-1(12 + 28x + (3 * 7x + 7x * 7x)) = 0
-1(12 + 28x + (21x + 49x2)) = 0

Combine like terms: 28x + 21x = 49x
-1(12 + 49x + 49x2) = 0
(12 * -1 + 49x * -1 + 49x2 * -1) = 0
(-12 + -49x + -49x2) = 0

Solving
-12 + -49x + -49x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 49x + 49x2) = 0

Factor a trinomial.
-1((4 + 7x)(3 + 7x)) = 0

Ignore the factor -1.

Subproblem 1

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

Subproblem 2

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

Solution

x = {-0.5714285714, -0.4285714286}

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