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Simplifying 4(3x + 2)(2x + -4) + -1(5x + -10) = 0 Reorder the terms: 4(2 + 3x)(2x + -4) + -1(5x + -10) = 0 Reorder the terms: 4(2 + 3x)(-4 + 2x) + -1(5x + -10) = 0 Multiply (2 + 3x) * (-4 + 2x) 4(2(-4 + 2x) + 3x * (-4 + 2x)) + -1(5x + -10) = 0 4((-4 * 2 + 2x * 2) + 3x * (-4 + 2x)) + -1(5x + -10) = 0 4((-8 + 4x) + 3x * (-4 + 2x)) + -1(5x + -10) = 0 4(-8 + 4x + (-4 * 3x + 2x * 3x)) + -1(5x + -10) = 0 4(-8 + 4x + (-12x + 6x2)) + -1(5x + -10) = 0 Combine like terms: 4x + -12x = -8x 4(-8 + -8x + 6x2) + -1(5x + -10) = 0 (-8 * 4 + -8x * 4 + 6x2 * 4) + -1(5x + -10) = 0 (-32 + -32x + 24x2) + -1(5x + -10) = 0 Reorder the terms: -32 + -32x + 24x2 + -1(-10 + 5x) = 0 -32 + -32x + 24x2 + (-10 * -1 + 5x * -1) = 0 -32 + -32x + 24x2 + (10 + -5x) = 0 Reorder the terms: -32 + 10 + -32x + -5x + 24x2 = 0 Combine like terms: -32 + 10 = -22 -22 + -32x + -5x + 24x2 = 0 Combine like terms: -32x + -5x = -37x -22 + -37x + 24x2 = 0 Solving -22 + -37x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -24x)(2 + -1x) = 0Subproblem 1
Set the factor '(-11 + -24x)' equal to zero and attempt to solve: Simplifying -11 + -24x = 0 Solving -11 + -24x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -24x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -24x = 0 + 11 -24x = 0 + 11 Combine like terms: 0 + 11 = 11 -24x = 11 Divide each side by '-24'. x = -0.4583333333 Simplifying x = -0.4583333333Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.4583333333, 2}
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